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

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


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

Reorder the terms:
2 + -6y = 4(2y + 3)

Reorder the terms:
2 + -6y = 4(3 + 2y)
2 + -6y = (3 * 4 + 2y * 4)
2 + -6y = (12 + 8y)

Solving
2 + -6y = 12 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
2 + -6y + -8y = 12 + 8y + -8y

Combine like terms: -6y + -8y = -14y
2 + -14y = 12 + 8y + -8y

Combine like terms: 8y + -8y = 0
2 + -14y = 12 + 0
2 + -14y = 12

Add '-2' to each side of the equation.
2 + -2 + -14y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -14y = 12 + -2
-14y = 12 + -2

Combine like terms: 12 + -2 = 10
-14y = 10

Divide each side by '-14'.
y = -0.7142857143

Simplifying
y = -0.7142857143

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