3y+144+y+295=15

To write 3y+144 as a fraction with a common denominator, multiply by 55.

3y+144⋅55+y+295=15

To write y+295 as a fraction with a common denominator, multiply by 44.

3y+144⋅55+y+295⋅44=15

Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.

Multiply 3y+144 and 55.

(3y+14)⋅54⋅5+y+295⋅44=15

Multiply 4 by 5.

(3y+14)⋅520+y+295⋅44=15

Multiply y+295 and 44.

(3y+14)⋅520+(y+29)⋅45⋅4=15

Multiply 5 by 4.

(3y+14)⋅520+(y+29)⋅420=15

(3y+14)⋅520+(y+29)⋅420=15

Combine the numerators over the common denominator.

(3y+14)⋅5+(y+29)⋅420=15

Rewrite (3y+14)⋅5+(y+29)⋅420 in a factored form.

Apply the distributive property.

3y⋅5+14⋅5+(y+29)⋅420=15

Multiply 5 by 3.

15y+14⋅5+(y+29)⋅420=15

Multiply 14 by 5.

15y+70+(y+29)⋅420=15

Apply the distributive property.

15y+70+y⋅4+29⋅420=15

Move 4 to the left of y.

15y+70+4⋅y+29⋅420=15

Multiply 29 by 4.

15y+70+4y+11620=15

Add 15y and 4y.

19y+70+11620=15

Add 70 and 116.

19y+18620=15

19y+18620=15

19y+18620=15

Multiply both sides of the equation by 20.

19y+186=15⋅(20)

Remove parentheses.

19y+186=15⋅(20)

Multiply 15 by 20.

19y+186=300

Move all terms not containing y to the right side of the equation.

Subtract 186 from both sides of the equation.

19y=300-186

Subtract 186 from 300.

19y=114

19y=114

Divide each term by 19 and simplify.

Divide each term in 19y=114 by 19.

19y19=11419

Cancel the common factor of 19.

Cancel the common factor.

19y19=11419

Divide y by 1.

y=11419

y=11419

Divide 114 by 19.

y=6

y=6

y=6

Solve for y (3y+14)/4+(y+29)/5=15