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

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


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

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

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

Reorder the terms:
8 + -18y = 3 + -7y + 10y

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

Solving
8 + -18y = 3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + -18y + -3y = 3 + 3y + -3y

Combine like terms: -18y + -3y = -21y
8 + -21y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -21y = 3 + 0
8 + -21y = 3

Add '-8' to each side of the equation.
8 + -8 + -21y = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -21y = 3 + -8
-21y = 3 + -8

Combine like terms: 3 + -8 = -5
-21y = -5

Divide each side by '-21'.
y = 0.2380952381

Simplifying
y = 0.2380952381

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