40=-2(4y-2)

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Solution for 40=-2(4y-2) equation:


Simplifying
40 = -2(4y + -2)

Reorder the terms:
40 = -2(-2 + 4y)
40 = (-2 * -2 + 4y * -2)
40 = (4 + -8y)

Solving
40 = 4 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
40 + 8y = 4 + -8y + 8y

Combine like terms: -8y + 8y = 0
40 + 8y = 4 + 0
40 + 8y = 4

Add '-40' to each side of the equation.
40 + -40 + 8y = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 8y = 4 + -40
8y = 4 + -40

Combine like terms: 4 + -40 = -36
8y = -36

Divide each side by '8'.
y = -4.5

Simplifying
y = -4.5

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