5y+3=2(y-9)

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Solution for 5y+3=2(y-9) equation:


Simplifying
5y + 3 = 2(y + -9)

Reorder the terms:
3 + 5y = 2(y + -9)

Reorder the terms:
3 + 5y = 2(-9 + y)
3 + 5y = (-9 * 2 + y * 2)
3 + 5y = (-18 + 2y)

Solving
3 + 5y = -18 + 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.
3 + 5y + -2y = -18 + 2y + -2y

Combine like terms: 5y + -2y = 3y
3 + 3y = -18 + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + 3y = -18 + 0
3 + 3y = -18

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

Combine like terms: 3 + -3 = 0
0 + 3y = -18 + -3
3y = -18 + -3

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

Divide each side by '3'.
y = -7

Simplifying
y = -7

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