6y-11=-2(y-2)

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Solution for 6y-11=-2(y-2) equation:


Simplifying
6y + -11 = -2(y + -2)

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

Reorder the terms:
-11 + 6y = -2(-2 + y)
-11 + 6y = (-2 * -2 + y * -2)
-11 + 6y = (4 + -2y)

Solving
-11 + 6y = 4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-11 + 6y + 2y = 4 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-11 + 8y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
-11 + 8y = 4 + 0
-11 + 8y = 4

Add '11' to each side of the equation.
-11 + 11 + 8y = 4 + 11

Combine like terms: -11 + 11 = 0
0 + 8y = 4 + 11
8y = 4 + 11

Combine like terms: 4 + 11 = 15
8y = 15

Divide each side by '8'.
y = 1.875

Simplifying
y = 1.875

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