2(y-3)=8y+24

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Solution for 2(y-3)=8y+24 equation:


Simplifying
2(y + -3) = 8y + 24

Reorder the terms:
2(-3 + y) = 8y + 24
(-3 * 2 + y * 2) = 8y + 24
(-6 + 2y) = 8y + 24

Reorder the terms:
-6 + 2y = 24 + 8y

Solving
-6 + 2y = 24 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-6 + 2y + -8y = 24 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-6 + -6y = 24 + 8y + -8y

Combine like terms: 8y + -8y = 0
-6 + -6y = 24 + 0
-6 + -6y = 24

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

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

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

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

Simplifying
y = -5

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