5(y-2)-3(y+4)=0

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Solution for 5(y-2)-3(y+4)=0 equation:


Simplifying
5(y + -2) + -3(y + 4) = 0

Reorder the terms:
5(-2 + y) + -3(y + 4) = 0
(-2 * 5 + y * 5) + -3(y + 4) = 0
(-10 + 5y) + -3(y + 4) = 0

Reorder the terms:
-10 + 5y + -3(4 + y) = 0
-10 + 5y + (4 * -3 + y * -3) = 0
-10 + 5y + (-12 + -3y) = 0

Reorder the terms:
-10 + -12 + 5y + -3y = 0

Combine like terms: -10 + -12 = -22
-22 + 5y + -3y = 0

Combine like terms: 5y + -3y = 2y
-22 + 2y = 0

Solving
-22 + 2y = 0

Solving for variable 'y'.

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

Add '22' to each side of the equation.
-22 + 22 + 2y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 2y = 0 + 22
2y = 0 + 22

Combine like terms: 0 + 22 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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