9y-40=-2(y-2)

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Solution for 9y-40=-2(y-2) equation:


Simplifying
9y + -40 = -2(y + -2)

Reorder the terms:
-40 + 9y = -2(y + -2)

Reorder the terms:
-40 + 9y = -2(-2 + y)
-40 + 9y = (-2 * -2 + y * -2)
-40 + 9y = (4 + -2y)

Solving
-40 + 9y = 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.
-40 + 9y + 2y = 4 + -2y + 2y

Combine like terms: 9y + 2y = 11y
-40 + 11y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
-40 + 11y = 4 + 0
-40 + 11y = 4

Add '40' to each side of the equation.
-40 + 40 + 11y = 4 + 40

Combine like terms: -40 + 40 = 0
0 + 11y = 4 + 40
11y = 4 + 40

Combine like terms: 4 + 40 = 44
11y = 44

Divide each side by '11'.
y = 4

Simplifying
y = 4

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