2(y-3)-1=3(y-4)

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Solution for 2(y-3)-1=3(y-4) equation:


Simplifying
2(y + -3) + -1 = 3(y + -4)

Reorder the terms:
2(-3 + y) + -1 = 3(y + -4)
(-3 * 2 + y * 2) + -1 = 3(y + -4)
(-6 + 2y) + -1 = 3(y + -4)

Reorder the terms:
-6 + -1 + 2y = 3(y + -4)

Combine like terms: -6 + -1 = -7
-7 + 2y = 3(y + -4)

Reorder the terms:
-7 + 2y = 3(-4 + y)
-7 + 2y = (-4 * 3 + y * 3)
-7 + 2y = (-12 + 3y)

Solving
-7 + 2y = -12 + 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.
-7 + 2y + -3y = -12 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-7 + -1y = -12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-7 + -1y = -12 + 0
-7 + -1y = -12

Add '7' to each side of the equation.
-7 + 7 + -1y = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = -12 + 7
-1y = -12 + 7

Combine like terms: -12 + 7 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5

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