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

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


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

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

Reorder the terms:
-8 + 2y = 3(-3 + y)
-8 + 2y = (-3 * 3 + y * 3)
-8 + 2y = (-9 + 3y)

Solving
-8 + 2y = -9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-8 + 2y + -3y = -9 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-8 + -1y = -9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + -1y = -9 + 0
-8 + -1y = -9

Add '8' to each side of the equation.
-8 + 8 + -1y = -9 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = -9 + 8
-1y = -9 + 8

Combine like terms: -9 + 8 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1

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