5(2-y)+6=2y-5

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Solution for 5(2-y)+6=2y-5 equation: 


Simplifying
5(2 + -1y) + 6 = 2y + -5
(2 * 5 + -1y * 5) + 6 = 2y + -5
(10 + -5y) + 6 = 2y + -5

Reorder the terms:
10 + 6 + -5y = 2y + -5

Combine like terms: 10 + 6 = 16
16 + -5y = 2y + -5

Reorder the terms:
16 + -5y = -5 + 2y

Solving
16 + -5y = -5 + 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.
16 + -5y + -2y = -5 + 2y + -2y

Combine like terms: -5y + -2y = -7y
16 + -7y = -5 + 2y + -2y

Combine like terms: 2y + -2y = 0
16 + -7y = -5 + 0
16 + -7y = -5

Add '-16' to each side of the equation.
16 + -16 + -7y = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = -5 + -16
-7y = -5 + -16

Combine like terms: -5 + -16 = -21
-7y = -21

Divide each side by '-7'.
y = 3

Simplifying
y = 3

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