2y-11=9(y+5)

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Solution for 2y-11=9(y+5) equation:


Simplifying
2y + -11 = 9(y + 5)

Reorder the terms:
-11 + 2y = 9(y + 5)

Reorder the terms:
-11 + 2y = 9(5 + y)
-11 + 2y = (5 * 9 + y * 9)
-11 + 2y = (45 + 9y)

Solving
-11 + 2y = 45 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-11 + 2y + -9y = 45 + 9y + -9y

Combine like terms: 2y + -9y = -7y
-11 + -7y = 45 + 9y + -9y

Combine like terms: 9y + -9y = 0
-11 + -7y = 45 + 0
-11 + -7y = 45

Add '11' to each side of the equation.
-11 + 11 + -7y = 45 + 11

Combine like terms: -11 + 11 = 0
0 + -7y = 45 + 11
-7y = 45 + 11

Combine like terms: 45 + 11 = 56
-7y = 56

Divide each side by '-7'.
y = -8

Simplifying
y = -8

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