6(y-3)=2y-46

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Solution for 6(y-3)=2y-46 equation:


Simplifying
6(y + -3) = 2y + -46

Reorder the terms:
6(-3 + y) = 2y + -46
(-3 * 6 + y * 6) = 2y + -46
(-18 + 6y) = 2y + -46

Reorder the terms:
-18 + 6y = -46 + 2y

Solving
-18 + 6y = -46 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-18 + 6y + -2y = -46 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-18 + 4y = -46 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 4y = -46 + 0
-18 + 4y = -46

Add '18' to each side of the equation.
-18 + 18 + 4y = -46 + 18

Combine like terms: -18 + 18 = 0
0 + 4y = -46 + 18
4y = -46 + 18

Combine like terms: -46 + 18 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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