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

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Solution for 9(y+2)-11y-7=3(y-3) equation:


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

Reorder the terms:
9(2 + y) + -11y + -7 = 3(y + -3)
(2 * 9 + y * 9) + -11y + -7 = 3(y + -3)
(18 + 9y) + -11y + -7 = 3(y + -3)

Reorder the terms:
18 + -7 + 9y + -11y = 3(y + -3)

Combine like terms: 18 + -7 = 11
11 + 9y + -11y = 3(y + -3)

Combine like terms: 9y + -11y = -2y
11 + -2y = 3(y + -3)

Reorder the terms:
11 + -2y = 3(-3 + y)
11 + -2y = (-3 * 3 + y * 3)
11 + -2y = (-9 + 3y)

Solving
11 + -2y = -9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
11 + -2y + -3y = -9 + 3y + -3y

Combine like terms: -2y + -3y = -5y
11 + -5y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0
11 + -5y = -9 + 0
11 + -5y = -9

Add '-11' to each side of the equation.
11 + -11 + -5y = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -5y = -9 + -11
-5y = -9 + -11

Combine like terms: -9 + -11 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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