y+10=2(y+2)-8

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Solution for y+10=2(y+2)-8 equation:


Simplifying
y + 10 = 2(y + 2) + -8

Reorder the terms:
10 + y = 2(y + 2) + -8

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

Reorder the terms:
10 + y = 4 + -8 + 2y

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

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

Combine like terms: y + -2y = -1y
10 + -1y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + -1y = -4 + 0
10 + -1y = -4

Add '-10' to each side of the equation.
10 + -10 + -1y = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = -4 + -10
-1y = -4 + -10

Combine like terms: -4 + -10 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14

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