6(y-1)=-5y+16

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Solution for 6(y-1)=-5y+16 equation: 


Simplifying
6(y + -1) = -5y + 16

Reorder the terms:
6(-1 + y) = -5y + 16
(-1 * 6 + y * 6) = -5y + 16
(-6 + 6y) = -5y + 16

Reorder the terms:
-6 + 6y = 16 + -5y

Solving
-6 + 6y = 16 + -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.
-6 + 6y + 5y = 16 + -5y + 5y

Combine like terms: 6y + 5y = 11y
-6 + 11y = 16 + -5y + 5y

Combine like terms: -5y + 5y = 0
-6 + 11y = 16 + 0
-6 + 11y = 16

Add '6' to each side of the equation.
-6 + 6 + 11y = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 11y = 16 + 6
11y = 16 + 6

Combine like terms: 16 + 6 = 22
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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