3(y+3)+2=5(y-2)+11

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Solution for 3(y+3)+2=5(y-2)+11 equation: 


Simplifying
3(y + 3) + 2 = 5(y + -2) + 11

Reorder the terms:
3(3 + y) + 2 = 5(y + -2) + 11
(3 * 3 + y * 3) + 2 = 5(y + -2) + 11
(9 + 3y) + 2 = 5(y + -2) + 11

Reorder the terms:
9 + 2 + 3y = 5(y + -2) + 11

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

Reorder the terms:
11 + 3y = 5(-2 + y) + 11
11 + 3y = (-2 * 5 + y * 5) + 11
11 + 3y = (-10 + 5y) + 11

Reorder the terms:
11 + 3y = -10 + 11 + 5y

Combine like terms: -10 + 11 = 1
11 + 3y = 1 + 5y

Solving
11 + 3y = 1 + 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 = 1 + 5y + -5y

Combine like terms: 3y + -5y = -2y
11 + -2y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -2y = 1 + 0
11 + -2y = 1

Add '-11' to each side of the equation.
11 + -11 + -2y = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = 1 + -11
-2y = 1 + -11

Combine like terms: 1 + -11 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5

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