5(2-y)=23-3(2y+7)

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Solution for 5(2-y)=23-3(2y+7) equation:


Simplifying
5(2 + -1y) = 23 + -3(2y + 7)
(2 * 5 + -1y * 5) = 23 + -3(2y + 7)
(10 + -5y) = 23 + -3(2y + 7)

Reorder the terms:
10 + -5y = 23 + -3(7 + 2y)
10 + -5y = 23 + (7 * -3 + 2y * -3)
10 + -5y = 23 + (-21 + -6y)

Combine like terms: 23 + -21 = 2
10 + -5y = 2 + -6y

Solving
10 + -5y = 2 + -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.
10 + -5y + 6y = 2 + -6y + 6y

Combine like terms: -5y + 6y = 1y
10 + 1y = 2 + -6y + 6y

Combine like terms: -6y + 6y = 0
10 + 1y = 2 + 0
10 + 1y = 2

Add '-10' to each side of the equation.
10 + -10 + 1y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 2 + -10
1y = 2 + -10

Combine like terms: 2 + -10 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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