7(y+15)=-13y

Solution for 7(y+15)=-13y equation:

Simplifying
7(y + 15) = -13y

Reorder the terms:
7(15 + y) = -13y
(15 * 7 + y * 7) = -13y
(105 + 7y) = -13y

Solving
105 + 7y = -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
105 + 7y + 13y = -13y + 13y

Combine like terms: 7y + 13y = 20y
105 + 20y = -13y + 13y

Combine like terms: -13y + 13y = 0
105 + 20y = 0

Add '-105' to each side of the equation.
105 + -105 + 20y = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 20y = 0 + -105
20y = 0 + -105

Combine like terms: 0 + -105 = -105
20y = -105

Divide each side by '20'.
y = -5.25

Simplifying
y = -5.25