2(3y-4)=10y-16

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Solution for 2(3y-4)=10y-16 equation:


Simplifying
2(3y + -4) = 10y + -16

Reorder the terms:
2(-4 + 3y) = 10y + -16
(-4 * 2 + 3y * 2) = 10y + -16
(-8 + 6y) = 10y + -16

Reorder the terms:
-8 + 6y = -16 + 10y

Solving
-8 + 6y = -16 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-8 + 6y + -10y = -16 + 10y + -10y

Combine like terms: 6y + -10y = -4y
-8 + -4y = -16 + 10y + -10y

Combine like terms: 10y + -10y = 0
-8 + -4y = -16 + 0
-8 + -4y = -16

Add '8' to each side of the equation.
-8 + 8 + -4y = -16 + 8

Combine like terms: -8 + 8 = 0
0 + -4y = -16 + 8
-4y = -16 + 8

Combine like terms: -16 + 8 = -8
-4y = -8

Divide each side by '-4'.
y = 2

Simplifying
y = 2

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