9y-2=5(2y+4)

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Solution for 9y-2=5(2y+4) equation:


Simplifying
9y + -2 = 5(2y + 4)

Reorder the terms:
-2 + 9y = 5(2y + 4)

Reorder the terms:
-2 + 9y = 5(4 + 2y)
-2 + 9y = (4 * 5 + 2y * 5)
-2 + 9y = (20 + 10y)

Solving
-2 + 9y = 20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-2 + 9y + -10y = 20 + 10y + -10y

Combine like terms: 9y + -10y = -1y
-2 + -1y = 20 + 10y + -10y

Combine like terms: 10y + -10y = 0
-2 + -1y = 20 + 0
-2 + -1y = 20

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

Combine like terms: -2 + 2 = 0
0 + -1y = 20 + 2
-1y = 20 + 2

Combine like terms: 20 + 2 = 22
-1y = 22

Divide each side by '-1'.
y = -22

Simplifying
y = -22

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