3(6y-7)-14=y-2(5y+4)

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Solution for 3(6y-7)-14=y-2(5y+4) equation:


Simplifying
3(6y + -7) + -14 = y + -2(5y + 4)

Reorder the terms:
3(-7 + 6y) + -14 = y + -2(5y + 4)
(-7 * 3 + 6y * 3) + -14 = y + -2(5y + 4)
(-21 + 18y) + -14 = y + -2(5y + 4)

Reorder the terms:
-21 + -14 + 18y = y + -2(5y + 4)

Combine like terms: -21 + -14 = -35
-35 + 18y = y + -2(5y + 4)

Reorder the terms:
-35 + 18y = y + -2(4 + 5y)
-35 + 18y = y + (4 * -2 + 5y * -2)
-35 + 18y = y + (-8 + -10y)

Reorder the terms:
-35 + 18y = -8 + y + -10y

Combine like terms: y + -10y = -9y
-35 + 18y = -8 + -9y

Solving
-35 + 18y = -8 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-35 + 18y + 9y = -8 + -9y + 9y

Combine like terms: 18y + 9y = 27y
-35 + 27y = -8 + -9y + 9y

Combine like terms: -9y + 9y = 0
-35 + 27y = -8 + 0
-35 + 27y = -8

Add '35' to each side of the equation.
-35 + 35 + 27y = -8 + 35

Combine like terms: -35 + 35 = 0
0 + 27y = -8 + 35
27y = -8 + 35

Combine like terms: -8 + 35 = 27
27y = 27

Divide each side by '27'.
y = 1

Simplifying
y = 1

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