5(2y-3)-3(y-5)=21

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Solution for 5(2y-3)-3(y-5)=21 equation: 


Simplifying
5(2y + -3) + -3(y + -5) = 21

Reorder the terms:
5(-3 + 2y) + -3(y + -5) = 21
(-3 * 5 + 2y * 5) + -3(y + -5) = 21
(-15 + 10y) + -3(y + -5) = 21

Reorder the terms:
-15 + 10y + -3(-5 + y) = 21
-15 + 10y + (-5 * -3 + y * -3) = 21
-15 + 10y + (15 + -3y) = 21

Reorder the terms:
-15 + 15 + 10y + -3y = 21

Combine like terms: -15 + 15 = 0
0 + 10y + -3y = 21
10y + -3y = 21

Combine like terms: 10y + -3y = 7y
7y = 21

Solving
7y = 21

Solving for variable 'y'.

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

Divide each side by '7'.
y = 3

Simplifying
y = 3

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