3y+23=-7(y-9)

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Solution for 3y+23=-7(y-9) equation:


Simplifying
3y + 23 = -7(y + -9)

Reorder the terms:
23 + 3y = -7(y + -9)

Reorder the terms:
23 + 3y = -7(-9 + y)
23 + 3y = (-9 * -7 + y * -7)
23 + 3y = (63 + -7y)

Solving
23 + 3y = 63 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
23 + 3y + 7y = 63 + -7y + 7y

Combine like terms: 3y + 7y = 10y
23 + 10y = 63 + -7y + 7y

Combine like terms: -7y + 7y = 0
23 + 10y = 63 + 0
23 + 10y = 63

Add '-23' to each side of the equation.
23 + -23 + 10y = 63 + -23

Combine like terms: 23 + -23 = 0
0 + 10y = 63 + -23
10y = 63 + -23

Combine like terms: 63 + -23 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4

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