-3+4(y-1)=3(y+5)

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

Simplifying
-3 + 4(y + -1) = 3(y + 5)

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

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

Reorder the terms:
-7 + 4y = 3(5 + y)
-7 + 4y = (5 * 3 + y * 3)
-7 + 4y = (15 + 3y)

Solving
-7 + 4y = 15 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-7 + 4y + -3y = 15 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-7 + 1y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-7 + 1y = 15 + 0
-7 + 1y = 15

Add '7' to each side of the equation.
-7 + 7 + 1y = 15 + 7

Combine like terms: -7 + 7 = 0
0 + 1y = 15 + 7
1y = 15 + 7

Combine like terms: 15 + 7 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22