3y-5(y-6)=2(10-x)+10

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Solution for 3y-5(y-6)=2(10-x)+10 equation: 


Simplifying
3y + -5(y + -6) = 2(10 + -1x) + 10

Reorder the terms:
3y + -5(-6 + y) = 2(10 + -1x) + 10
3y + (-6 * -5 + y * -5) = 2(10 + -1x) + 10
3y + (30 + -5y) = 2(10 + -1x) + 10

Reorder the terms:
30 + 3y + -5y = 2(10 + -1x) + 10

Combine like terms: 3y + -5y = -2y
30 + -2y = 2(10 + -1x) + 10
30 + -2y = (10 * 2 + -1x * 2) + 10
30 + -2y = (20 + -2x) + 10

Reorder the terms:
30 + -2y = 20 + 10 + -2x

Combine like terms: 20 + 10 = 30
30 + -2y = 30 + -2x

Add '-30' to each side of the equation.
30 + -30 + -2y = 30 + -30 + -2x

Combine like terms: 30 + -30 = 0
0 + -2y = 30 + -30 + -2x
-2y = 30 + -30 + -2x

Combine like terms: 30 + -30 = 0
-2y = 0 + -2x
-2y = -2x

Solving
-2y = -2x

Solving for variable 'y'.

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

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

Simplifying
y = x

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