12y-5y+4-8(y-1)=3(y+2)

Solution for 12y-5y+4-8(y-1)=3(y+2) equation:

Simplifying
12y + -5y + 4 + -8(y + -1) = 3(y + 2)

Reorder the terms:
12y + -5y + 4 + -8(-1 + y) = 3(y + 2)
12y + -5y + 4 + (-1 * -8 + y * -8) = 3(y + 2)
12y + -5y + 4 + (8 + -8y) = 3(y + 2)

Reorder the terms:
4 + 8 + 12y + -5y + -8y = 3(y + 2)

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

Combine like terms: 12y + -5y = 7y
12 + 7y + -8y = 3(y + 2)

Combine like terms: 7y + -8y = -1y
12 + -1y = 3(y + 2)

Reorder the terms:
12 + -1y = 3(2 + y)
12 + -1y = (2 * 3 + y * 3)
12 + -1y = (6 + 3y)

Solving
12 + -1y = 6 + 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.
12 + -1y + -3y = 6 + 3y + -3y

Combine like terms: -1y + -3y = -4y
12 + -4y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + -4y = 6 + 0
12 + -4y = 6

Add '-12' to each side of the equation.
12 + -12 + -4y = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -4y = 6 + -12
-4y = 6 + -12

Combine like terms: 6 + -12 = -6
-4y = -6

Divide each side by '-4'.
y = 1.5

Simplifying
y = 1.5