3(3y+5)=11y-9

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Solution for 3(3y+5)=11y-9 equation:


Simplifying
3(3y + 5) = 11y + -9

Reorder the terms:
3(5 + 3y) = 11y + -9
(5 * 3 + 3y * 3) = 11y + -9
(15 + 9y) = 11y + -9

Reorder the terms:
15 + 9y = -9 + 11y

Solving
15 + 9y = -9 + 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 + 9y + -11y = -9 + 11y + -11y

Combine like terms: 9y + -11y = -2y
15 + -2y = -9 + 11y + -11y

Combine like terms: 11y + -11y = 0
15 + -2y = -9 + 0
15 + -2y = -9

Add '-15' to each side of the equation.
15 + -15 + -2y = -9 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = -9 + -15
-2y = -9 + -15

Combine like terms: -9 + -15 = -24
-2y = -24

Divide each side by '-2'.
y = 12

Simplifying
y = 12

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