2y-6=7(y+2)

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


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

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

Reorder the terms:
-6 + 2y = 7(2 + y)
-6 + 2y = (2 * 7 + y * 7)
-6 + 2y = (14 + 7y)

Solving
-6 + 2y = 14 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-6 + 2y + -7y = 14 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-6 + -5y = 14 + 7y + -7y

Combine like terms: 7y + -7y = 0
-6 + -5y = 14 + 0
-6 + -5y = 14

Add '6' to each side of the equation.
-6 + 6 + -5y = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 14 + 6
-5y = 14 + 6

Combine like terms: 14 + 6 = 20
-5y = 20

Divide each side by '-5'.
y = -4

Simplifying
y = -4

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