3y-7=5(12y-4)

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Solution for 3y-7=5(12y-4) equation:


Simplifying
3y + -7 = 5(12y + -4)

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

Reorder the terms:
-7 + 3y = 5(-4 + 12y)
-7 + 3y = (-4 * 5 + 12y * 5)
-7 + 3y = (-20 + 60y)

Solving
-7 + 3y = -20 + 60y

Solving for variable 'y'.

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

Add '-60y' to each side of the equation.
-7 + 3y + -60y = -20 + 60y + -60y

Combine like terms: 3y + -60y = -57y
-7 + -57y = -20 + 60y + -60y

Combine like terms: 60y + -60y = 0
-7 + -57y = -20 + 0
-7 + -57y = -20

Add '7' to each side of the equation.
-7 + 7 + -57y = -20 + 7

Combine like terms: -7 + 7 = 0
0 + -57y = -20 + 7
-57y = -20 + 7

Combine like terms: -20 + 7 = -13
-57y = -13

Divide each side by '-57'.
y = 0.2280701754

Simplifying
y = 0.2280701754

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