2(3y-2)=8y+5

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Solution for 2(3y-2)=8y+5 equation:


Simplifying
2(3y + -2) = 8y + 5

Reorder the terms:
2(-2 + 3y) = 8y + 5
(-2 * 2 + 3y * 2) = 8y + 5
(-4 + 6y) = 8y + 5

Reorder the terms:
-4 + 6y = 5 + 8y

Solving
-4 + 6y = 5 + 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.
-4 + 6y + -8y = 5 + 8y + -8y

Combine like terms: 6y + -8y = -2y
-4 + -2y = 5 + 8y + -8y

Combine like terms: 8y + -8y = 0
-4 + -2y = 5 + 0
-4 + -2y = 5

Add '4' to each side of the equation.
-4 + 4 + -2y = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -2y = 5 + 4
-2y = 5 + 4

Combine like terms: 5 + 4 = 9
-2y = 9

Divide each side by '-2'.
y = -4.5

Simplifying
y = -4.5

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