10-2(y+3)=y+10

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Solution for 10-2(y+3)=y+10 equation:


Simplifying
10 + -2(y + 3) = y + 10

Reorder the terms:
10 + -2(3 + y) = y + 10
10 + (3 * -2 + y * -2) = y + 10
10 + (-6 + -2y) = y + 10

Combine like terms: 10 + -6 = 4
4 + -2y = y + 10

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

Solving
4 + -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.
4 + -2y + -1y = 10 + y + -1y

Combine like terms: -2y + -1y = -3y
4 + -3y = 10 + y + -1y

Combine like terms: y + -1y = 0
4 + -3y = 10 + 0
4 + -3y = 10

Add '-4' to each side of the equation.
4 + -4 + -3y = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 10 + -4
-3y = 10 + -4

Combine like terms: 10 + -4 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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