5(2y-1)+12=6(4y+5)-15

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Solution for 5(2y-1)+12=6(4y+5)-15 equation:


Simplifying
5(2y + -1) + 12 = 6(4y + 5) + -15

Reorder the terms:
5(-1 + 2y) + 12 = 6(4y + 5) + -15
(-1 * 5 + 2y * 5) + 12 = 6(4y + 5) + -15
(-5 + 10y) + 12 = 6(4y + 5) + -15

Reorder the terms:
-5 + 12 + 10y = 6(4y + 5) + -15

Combine like terms: -5 + 12 = 7
7 + 10y = 6(4y + 5) + -15

Reorder the terms:
7 + 10y = 6(5 + 4y) + -15
7 + 10y = (5 * 6 + 4y * 6) + -15
7 + 10y = (30 + 24y) + -15

Reorder the terms:
7 + 10y = 30 + -15 + 24y

Combine like terms: 30 + -15 = 15
7 + 10y = 15 + 24y

Solving
7 + 10y = 15 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
7 + 10y + -24y = 15 + 24y + -24y

Combine like terms: 10y + -24y = -14y
7 + -14y = 15 + 24y + -24y

Combine like terms: 24y + -24y = 0
7 + -14y = 15 + 0
7 + -14y = 15

Add '-7' to each side of the equation.
7 + -7 + -14y = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -14y = 15 + -7
-14y = 15 + -7

Combine like terms: 15 + -7 = 8
-14y = 8

Divide each side by '-14'.
y = -0.5714285714

Simplifying
y = -0.5714285714

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