5(y+3)=11(y-3)

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Solution for 5(y+3)=11(y-3) equation: 


Simplifying
5(y + 3) = 11(y + -3)

Reorder the terms:
5(3 + y) = 11(y + -3)
(3 * 5 + y * 5) = 11(y + -3)
(15 + 5y) = 11(y + -3)

Reorder the terms:
15 + 5y = 11(-3 + y)
15 + 5y = (-3 * 11 + y * 11)
15 + 5y = (-33 + 11y)

Solving
15 + 5y = -33 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
15 + 5y + -11y = -33 + 11y + -11y

Combine like terms: 5y + -11y = -6y
15 + -6y = -33 + 11y + -11y

Combine like terms: 11y + -11y = 0
15 + -6y = -33 + 0
15 + -6y = -33

Add '-15' to each side of the equation.
15 + -15 + -6y = -33 + -15

Combine like terms: 15 + -15 = 0
0 + -6y = -33 + -15
-6y = -33 + -15

Combine like terms: -33 + -15 = -48
-6y = -48

Divide each side by '-6'.
y = 8

Simplifying
y = 8

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