5(y-3)-3(y-2)=8

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Solution for 5(y-3)-3(y-2)=8 equation:


Simplifying
5(y + -3) + -3(y + -2) = 8

Reorder the terms:
5(-3 + y) + -3(y + -2) = 8
(-3 * 5 + y * 5) + -3(y + -2) = 8
(-15 + 5y) + -3(y + -2) = 8

Reorder the terms:
-15 + 5y + -3(-2 + y) = 8
-15 + 5y + (-2 * -3 + y * -3) = 8
-15 + 5y + (6 + -3y) = 8

Reorder the terms:
-15 + 6 + 5y + -3y = 8

Combine like terms: -15 + 6 = -9
-9 + 5y + -3y = 8

Combine like terms: 5y + -3y = 2y
-9 + 2y = 8

Solving
-9 + 2y = 8

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 2y = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 8 + 9
2y = 8 + 9

Combine like terms: 8 + 9 = 17
2y = 17

Divide each side by '2'.
y = 8.5

Simplifying
y = 8.5

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