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

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


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

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

Combine like terms: -2y + -6y = -8y
3 + -8y = 11

Solving
3 + -8y = 11

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -8y = 11 + -3

Combine like terms: 3 + -3 = 0
0 + -8y = 11 + -3
-8y = 11 + -3

Combine like terms: 11 + -3 = 8
-8y = 8

Divide each side by '-8'.
y = -1

Simplifying
y = -1

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