2-6(3y-1)=-7+3+10y

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Solution for 2-6(3y-1)=-7+3+10y equation: 


Simplifying
2 + -6(3y + -1) = -7 + 3 + 10y

Reorder the terms:
2 + -6(-1 + 3y) = -7 + 3 + 10y
2 + (-1 * -6 + 3y * -6) = -7 + 3 + 10y
2 + (6 + -18y) = -7 + 3 + 10y

Combine like terms: 2 + 6 = 8
8 + -18y = -7 + 3 + 10y

Combine like terms: -7 + 3 = -4
8 + -18y = -4 + 10y

Solving
8 + -18y = -4 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
8 + -18y + -10y = -4 + 10y + -10y

Combine like terms: -18y + -10y = -28y
8 + -28y = -4 + 10y + -10y

Combine like terms: 10y + -10y = 0
8 + -28y = -4 + 0
8 + -28y = -4

Add '-8' to each side of the equation.
8 + -8 + -28y = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -28y = -4 + -8
-28y = -4 + -8

Combine like terms: -4 + -8 = -12
-28y = -12

Divide each side by '-28'.
y = 0.4285714286

Simplifying
y = 0.4285714286

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