2(3y-4)=8y+10

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Solution for 2(3y-4)=8y+10 equation:


Simplifying
2(3y + -4) = 8y + 10

Reorder the terms:
2(-4 + 3y) = 8y + 10
(-4 * 2 + 3y * 2) = 8y + 10
(-8 + 6y) = 8y + 10

Reorder the terms:
-8 + 6y = 10 + 8y

Solving
-8 + 6y = 10 + 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.
-8 + 6y + -8y = 10 + 8y + -8y

Combine like terms: 6y + -8y = -2y
-8 + -2y = 10 + 8y + -8y

Combine like terms: 8y + -8y = 0
-8 + -2y = 10 + 0
-8 + -2y = 10

Add '8' to each side of the equation.
-8 + 8 + -2y = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -2y = 10 + 8
-2y = 10 + 8

Combine like terms: 10 + 8 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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