11-2y=5(y-5)+15

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Solution for 11-2y=5(y-5)+15 equation:


Simplifying
11 + -2y = 5(y + -5) + 15

Reorder the terms:
11 + -2y = 5(-5 + y) + 15
11 + -2y = (-5 * 5 + y * 5) + 15
11 + -2y = (-25 + 5y) + 15

Reorder the terms:
11 + -2y = -25 + 15 + 5y

Combine like terms: -25 + 15 = -10
11 + -2y = -10 + 5y

Solving
11 + -2y = -10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
11 + -2y + -5y = -10 + 5y + -5y

Combine like terms: -2y + -5y = -7y
11 + -7y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -7y = -10 + 0
11 + -7y = -10

Add '-11' to each side of the equation.
11 + -11 + -7y = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -7y = -10 + -11
-7y = -10 + -11

Combine like terms: -10 + -11 = -21
-7y = -21

Divide each side by '-7'.
y = 3

Simplifying
y = 3

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