7y-6=5(y-2)

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Solution for 7y-6=5(y-2) equation:


Simplifying
7y + -6 = 5(y + -2)

Reorder the terms:
-6 + 7y = 5(y + -2)

Reorder the terms:
-6 + 7y = 5(-2 + y)
-6 + 7y = (-2 * 5 + y * 5)
-6 + 7y = (-10 + 5y)

Solving
-6 + 7y = -10 + 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 + 7y + -5y = -10 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-6 + 2y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 2y = -10 + 0
-6 + 2y = -10

Add '6' to each side of the equation.
-6 + 6 + 2y = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = -10 + 6
2y = -10 + 6

Combine like terms: -10 + 6 = -4
2y = -4

Divide each side by '2'.
y = -2

Simplifying
y = -2

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