5+2(y-4)=y-10

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Solution for 5+2(y-4)=y-10 equation:


Simplifying
5 + 2(y + -4) = y + -10

Reorder the terms:
5 + 2(-4 + y) = y + -10
5 + (-4 * 2 + y * 2) = y + -10
5 + (-8 + 2y) = y + -10

Combine like terms: 5 + -8 = -3
-3 + 2y = y + -10

Reorder the terms:
-3 + 2y = -10 + y

Solving
-3 + 2y = -10 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-3 + 2y + -1y = -10 + y + -1y

Combine like terms: 2y + -1y = 1y
-3 + 1y = -10 + y + -1y

Combine like terms: y + -1y = 0
-3 + 1y = -10 + 0
-3 + 1y = -10

Add '3' to each side of the equation.
-3 + 3 + 1y = -10 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = -10 + 3
1y = -10 + 3

Combine like terms: -10 + 3 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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