7y-1=2(y+6)-2

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Solution for 7y-1=2(y+6)-2 equation:


Simplifying
7y + -1 = 2(y + 6) + -2

Reorder the terms:
-1 + 7y = 2(y + 6) + -2

Reorder the terms:
-1 + 7y = 2(6 + y) + -2
-1 + 7y = (6 * 2 + y * 2) + -2
-1 + 7y = (12 + 2y) + -2

Reorder the terms:
-1 + 7y = 12 + -2 + 2y

Combine like terms: 12 + -2 = 10
-1 + 7y = 10 + 2y

Solving
-1 + 7y = 10 + 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.
-1 + 7y + -2y = 10 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-1 + 5y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-1 + 5y = 10 + 0
-1 + 5y = 10

Add '1' to each side of the equation.
-1 + 1 + 5y = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 5y = 10 + 1
5y = 10 + 1

Combine like terms: 10 + 1 = 11
5y = 11

Divide each side by '5'.
y = 2.2

Simplifying
y = 2.2

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