2(y-4)=7y-23

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Solution for 2(y-4)=7y-23 equation:


Simplifying
2(y + -4) = 7y + -23

Reorder the terms:
2(-4 + y) = 7y + -23
(-4 * 2 + y * 2) = 7y + -23
(-8 + 2y) = 7y + -23

Reorder the terms:
-8 + 2y = -23 + 7y

Solving
-8 + 2y = -23 + 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.
-8 + 2y + -7y = -23 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-8 + -5y = -23 + 7y + -7y

Combine like terms: 7y + -7y = 0
-8 + -5y = -23 + 0
-8 + -5y = -23

Add '8' to each side of the equation.
-8 + 8 + -5y = -23 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = -23 + 8
-5y = -23 + 8

Combine like terms: -23 + 8 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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