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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