3(4y-1)=2(5y-7)

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Solution for 3(4y-1)=2(5y-7) equation:


Simplifying
3(4y + -1) = 2(5y + -7)

Reorder the terms:
3(-1 + 4y) = 2(5y + -7)
(-1 * 3 + 4y * 3) = 2(5y + -7)
(-3 + 12y) = 2(5y + -7)

Reorder the terms:
-3 + 12y = 2(-7 + 5y)
-3 + 12y = (-7 * 2 + 5y * 2)
-3 + 12y = (-14 + 10y)

Solving
-3 + 12y = -14 + 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.
-3 + 12y + -10y = -14 + 10y + -10y

Combine like terms: 12y + -10y = 2y
-3 + 2y = -14 + 10y + -10y

Combine like terms: 10y + -10y = 0
-3 + 2y = -14 + 0
-3 + 2y = -14

Add '3' to each side of the equation.
-3 + 3 + 2y = -14 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = -14 + 3
2y = -14 + 3

Combine like terms: -14 + 3 = -11
2y = -11

Divide each side by '2'.
y = -5.5

Simplifying
y = -5.5

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