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

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


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

Reorder the terms:
5(-7 + y) + -3 = 2 + -3(y + -7)
(-7 * 5 + y * 5) + -3 = 2 + -3(y + -7)
(-35 + 5y) + -3 = 2 + -3(y + -7)

Reorder the terms:
-35 + -3 + 5y = 2 + -3(y + -7)

Combine like terms: -35 + -3 = -38
-38 + 5y = 2 + -3(y + -7)

Reorder the terms:
-38 + 5y = 2 + -3(-7 + y)
-38 + 5y = 2 + (-7 * -3 + y * -3)
-38 + 5y = 2 + (21 + -3y)

Combine like terms: 2 + 21 = 23
-38 + 5y = 23 + -3y

Solving
-38 + 5y = 23 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-38 + 5y + 3y = 23 + -3y + 3y

Combine like terms: 5y + 3y = 8y
-38 + 8y = 23 + -3y + 3y

Combine like terms: -3y + 3y = 0
-38 + 8y = 23 + 0
-38 + 8y = 23

Add '38' to each side of the equation.
-38 + 38 + 8y = 23 + 38

Combine like terms: -38 + 38 = 0
0 + 8y = 23 + 38
8y = 23 + 38

Combine like terms: 23 + 38 = 61
8y = 61

Divide each side by '8'.
y = 7.625

Simplifying
y = 7.625

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