10(y+2)=2y-4

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Solution for 10(y+2)=2y-4 equation:


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

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

Reorder the terms:
20 + 10y = -4 + 2y

Solving
20 + 10y = -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.
20 + 10y + -2y = -4 + 2y + -2y

Combine like terms: 10y + -2y = 8y
20 + 8y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + 8y = -4 + 0
20 + 8y = -4

Add '-20' to each side of the equation.
20 + -20 + 8y = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 8y = -4 + -20
8y = -4 + -20

Combine like terms: -4 + -20 = -24
8y = -24

Divide each side by '8'.
y = -3

Simplifying
y = -3

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