2y+6=7y-24

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Solution for 2y+6=7y-24 equation:


Simplifying
2y + 6 = 7y + -24

Reorder the terms:
6 + 2y = 7y + -24

Reorder the terms:
6 + 2y = -24 + 7y

Solving
6 + 2y = -24 + 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 = -24 + 7y + -7y

Combine like terms: 2y + -7y = -5y
6 + -5y = -24 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + -5y = -24 + 0
6 + -5y = -24

Add '-6' to each side of the equation.
6 + -6 + -5y = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = -24 + -6
-5y = -24 + -6

Combine like terms: -24 + -6 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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