-3(y+4)-5(y-3)=15

Solution for -3(y+4)-5(y-3)=15 equation:

Simplifying
-3(y + 4) + -5(y + -3) = 15

Reorder the terms:
-3(4 + y) + -5(y + -3) = 15
(4 * -3 + y * -3) + -5(y + -3) = 15
(-12 + -3y) + -5(y + -3) = 15

Reorder the terms:
-12 + -3y + -5(-3 + y) = 15
-12 + -3y + (-3 * -5 + y * -5) = 15
-12 + -3y + (15 + -5y) = 15

Reorder the terms:
-12 + 15 + -3y + -5y = 15

Combine like terms: -12 + 15 = 3
3 + -3y + -5y = 15

Combine like terms: -3y + -5y = -8y
3 + -8y = 15

Solving
3 + -8y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -8y = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -8y = 15 + -3
-8y = 15 + -3

Combine like terms: 15 + -3 = 12
-8y = 12

Divide each side by '-8'.
y = -1.5

Simplifying
y = -1.5