3y+11=5(y-3)

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


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

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

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

Solving
11 + 3y = -15 + 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 + 3y + -5y = -15 + 5y + -5y

Combine like terms: 3y + -5y = -2y
11 + -2y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -2y = -15 + 0
11 + -2y = -15

Add '-11' to each side of the equation.
11 + -11 + -2y = -15 + -11

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

Combine like terms: -15 + -11 = -26
-2y = -26

Divide each side by '-2'.
y = 13

Simplifying
y = 13

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