4(8-5y)=-2y-4

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Solution for 4(8-5y)=-2y-4 equation:


Simplifying
4(8 + -5y) = -2y + -4
(8 * 4 + -5y * 4) = -2y + -4
(32 + -20y) = -2y + -4

Reorder the terms:
32 + -20y = -4 + -2y

Solving
32 + -20y = -4 + -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.
32 + -20y + 2y = -4 + -2y + 2y

Combine like terms: -20y + 2y = -18y
32 + -18y = -4 + -2y + 2y

Combine like terms: -2y + 2y = 0
32 + -18y = -4 + 0
32 + -18y = -4

Add '-32' to each side of the equation.
32 + -32 + -18y = -4 + -32

Combine like terms: 32 + -32 = 0
0 + -18y = -4 + -32
-18y = -4 + -32

Combine like terms: -4 + -32 = -36
-18y = -36

Divide each side by '-18'.
y = 2

Simplifying
y = 2

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