2(y+3)-3(2y-1)=11

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Solution for 2(y+3)-3(2y-1)=11 equation: 


Simplifying
2(y + 3) + -3(2y + -1) = 11

Reorder the terms:
2(3 + y) + -3(2y + -1) = 11
(3 * 2 + y * 2) + -3(2y + -1) = 11
(6 + 2y) + -3(2y + -1) = 11

Reorder the terms:
6 + 2y + -3(-1 + 2y) = 11
6 + 2y + (-1 * -3 + 2y * -3) = 11
6 + 2y + (3 + -6y) = 11

Reorder the terms:
6 + 3 + 2y + -6y = 11

Combine like terms: 6 + 3 = 9
9 + 2y + -6y = 11

Combine like terms: 2y + -6y = -4y
9 + -4y = 11

Solving
9 + -4y = 11

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + -4y = 11 + -9

Combine like terms: 9 + -9 = 0
0 + -4y = 11 + -9
-4y = 11 + -9

Combine like terms: 11 + -9 = 2
-4y = 2

Divide each side by '-4'.
y = -0.5

Simplifying
y = -0.5

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