5(y-4)=2(y+5)Y

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


Simplifying
5(y + -4) = 2(y + 5) * Y

Reorder the terms:
5(-4 + y) = 2(y + 5) * Y
(-4 * 5 + y * 5) = 2(y + 5) * Y
(-20 + 5y) = 2(y + 5) * Y

Reorder the terms:
-20 + 5y = 2(5 + y) * Y

Reorder the terms for easier multiplication:
-20 + 5y = 2Y(5 + y)
-20 + 5y = (5 * 2Y + y * 2Y)
-20 + 5y = (10Y + 2yY)

Solving
-20 + 5y = 10Y + 2yY

Solving for variable 'y'.

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

Add '-2yY' to each side of the equation.
-20 + 5y + -2yY = 10Y + 2yY + -2yY

Combine like terms: 2yY + -2yY = 0
-20 + 5y + -2yY = 10Y + 0
-20 + 5y + -2yY = 10Y

Add '20' to each side of the equation.
-20 + 5y + 20 + -2yY = 20 + 10Y

Reorder the terms:
-20 + 20 + 5y + -2yY = 20 + 10Y

Combine like terms: -20 + 20 = 0
0 + 5y + -2yY = 20 + 10Y
5y + -2yY = 20 + 10Y

Reorder the terms:
-20 + -10Y + 5y + -2yY = 20 + 10Y + -20 + -10Y

Reorder the terms:
-20 + -10Y + 5y + -2yY = 20 + -20 + 10Y + -10Y

Combine like terms: 20 + -20 = 0
-20 + -10Y + 5y + -2yY = 0 + 10Y + -10Y
-20 + -10Y + 5y + -2yY = 10Y + -10Y

Combine like terms: 10Y + -10Y = 0
-20 + -10Y + 5y + -2yY = 0

The solution to this equation could not be determined.

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