7-3(y+1)+8=4-5(y-2)

Solution for 7-3(y+1)+8=4-5(y-2) equation:

Simplifying
7 + -3(y + 1) + 8 = 4 + -5(y + -2)

Reorder the terms:
7 + -3(1 + y) + 8 = 4 + -5(y + -2)
7 + (1 * -3 + y * -3) + 8 = 4 + -5(y + -2)
7 + (-3 + -3y) + 8 = 4 + -5(y + -2)

Reorder the terms:
7 + -3 + 8 + -3y = 4 + -5(y + -2)

Combine like terms: 7 + -3 = 4
4 + 8 + -3y = 4 + -5(y + -2)

Combine like terms: 4 + 8 = 12
12 + -3y = 4 + -5(y + -2)

Reorder the terms:
12 + -3y = 4 + -5(-2 + y)
12 + -3y = 4 + (-2 * -5 + y * -5)
12 + -3y = 4 + (10 + -5y)

Combine like terms: 4 + 10 = 14
12 + -3y = 14 + -5y

Solving
12 + -3y = 14 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
12 + -3y + 5y = 14 + -5y + 5y

Combine like terms: -3y + 5y = 2y
12 + 2y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
12 + 2y = 14 + 0
12 + 2y = 14

Add '-12' to each side of the equation.
12 + -12 + 2y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 14 + -12
2y = 14 + -12

Combine like terms: 14 + -12 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1