3(6y-4)+7=2(2y+3)-15

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Solution for 3(6y-4)+7=2(2y+3)-15 equation:


Simplifying
3(6y + -4) + 7 = 2(2y + 3) + -15

Reorder the terms:
3(-4 + 6y) + 7 = 2(2y + 3) + -15
(-4 * 3 + 6y * 3) + 7 = 2(2y + 3) + -15
(-12 + 18y) + 7 = 2(2y + 3) + -15

Reorder the terms:
-12 + 7 + 18y = 2(2y + 3) + -15

Combine like terms: -12 + 7 = -5
-5 + 18y = 2(2y + 3) + -15

Reorder the terms:
-5 + 18y = 2(3 + 2y) + -15
-5 + 18y = (3 * 2 + 2y * 2) + -15
-5 + 18y = (6 + 4y) + -15

Reorder the terms:
-5 + 18y = 6 + -15 + 4y

Combine like terms: 6 + -15 = -9
-5 + 18y = -9 + 4y

Solving
-5 + 18y = -9 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-5 + 18y + -4y = -9 + 4y + -4y

Combine like terms: 18y + -4y = 14y
-5 + 14y = -9 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + 14y = -9 + 0
-5 + 14y = -9

Add '5' to each side of the equation.
-5 + 5 + 14y = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 14y = -9 + 5
14y = -9 + 5

Combine like terms: -9 + 5 = -4
14y = -4

Divide each side by '14'.
y = -0.2857142857

Simplifying
y = -0.2857142857

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