4(3y-1)+13=2(2x-1)

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Solution for 4(3y-1)+13=2(2x-1) equation:


Simplifying
4(3y + -1) + 13 = 2(2x + -1)

Reorder the terms:
4(-1 + 3y) + 13 = 2(2x + -1)
(-1 * 4 + 3y * 4) + 13 = 2(2x + -1)
(-4 + 12y) + 13 = 2(2x + -1)

Reorder the terms:
-4 + 13 + 12y = 2(2x + -1)

Combine like terms: -4 + 13 = 9
9 + 12y = 2(2x + -1)

Reorder the terms:
9 + 12y = 2(-1 + 2x)
9 + 12y = (-1 * 2 + 2x * 2)
9 + 12y = (-2 + 4x)

Solving
9 + 12y = -2 + 4x

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 12y = -2 + -9 + 4x

Combine like terms: 9 + -9 = 0
0 + 12y = -2 + -9 + 4x
12y = -2 + -9 + 4x

Combine like terms: -2 + -9 = -11
12y = -11 + 4x

Divide each side by '12'.
y = -0.9166666667 + 0.3333333333x

Simplifying
y = -0.9166666667 + 0.3333333333x

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