4(3+5y)-4=3+2(y-2)

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


Simplifying
4(3 + 5y) + -4 = 3 + 2(y + -2)
(3 * 4 + 5y * 4) + -4 = 3 + 2(y + -2)
(12 + 20y) + -4 = 3 + 2(y + -2)

Reorder the terms:
12 + -4 + 20y = 3 + 2(y + -2)

Combine like terms: 12 + -4 = 8
8 + 20y = 3 + 2(y + -2)

Reorder the terms:
8 + 20y = 3 + 2(-2 + y)
8 + 20y = 3 + (-2 * 2 + y * 2)
8 + 20y = 3 + (-4 + 2y)

Combine like terms: 3 + -4 = -1
8 + 20y = -1 + 2y

Solving
8 + 20y = -1 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
8 + 20y + -2y = -1 + 2y + -2y

Combine like terms: 20y + -2y = 18y
8 + 18y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 18y = -1 + 0
8 + 18y = -1

Add '-8' to each side of the equation.
8 + -8 + 18y = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 18y = -1 + -8
18y = -1 + -8

Combine like terms: -1 + -8 = -9
18y = -9

Divide each side by '18'.
y = -0.5

Simplifying
y = -0.5

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