11-3y=2(y-7)

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Solution for 11-3y=2(y-7) equation:


Simplifying
11 + -3y = 2(y + -7)

Reorder the terms:
11 + -3y = 2(-7 + y)
11 + -3y = (-7 * 2 + y * 2)
11 + -3y = (-14 + 2y)

Solving
11 + -3y = -14 + 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.
11 + -3y + -2y = -14 + 2y + -2y

Combine like terms: -3y + -2y = -5y
11 + -5y = -14 + 2y + -2y

Combine like terms: 2y + -2y = 0
11 + -5y = -14 + 0
11 + -5y = -14

Add '-11' to each side of the equation.
11 + -11 + -5y = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -5y = -14 + -11
-5y = -14 + -11

Combine like terms: -14 + -11 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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