y+2=6(y-3)

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


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

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

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

Solving
2 + y = -18 + 6y

Solving for variable 'y'.

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

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

Combine like terms: y + -6y = -5y
2 + -5y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
2 + -5y = -18 + 0
2 + -5y = -18

Add '-2' to each side of the equation.
2 + -2 + -5y = -18 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = -18 + -2
-5y = -18 + -2

Combine like terms: -18 + -2 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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