5(y+4)=4(y+5)-7y

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Solution for 5(y+4)=4(y+5)-7y equation:


Simplifying
5(y + 4) = 4(y + 5) + -7y

Reorder the terms:
5(4 + y) = 4(y + 5) + -7y
(4 * 5 + y * 5) = 4(y + 5) + -7y
(20 + 5y) = 4(y + 5) + -7y

Reorder the terms:
20 + 5y = 4(5 + y) + -7y
20 + 5y = (5 * 4 + y * 4) + -7y
20 + 5y = (20 + 4y) + -7y

Combine like terms: 4y + -7y = -3y
20 + 5y = 20 + -3y

Add '-20' to each side of the equation.
20 + -20 + 5y = 20 + -20 + -3y

Combine like terms: 20 + -20 = 0
0 + 5y = 20 + -20 + -3y
5y = 20 + -20 + -3y

Combine like terms: 20 + -20 = 0
5y = 0 + -3y
5y = -3y

Solving
5y = -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.
5y + 3y = -3y + 3y

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

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

Divide each side by '8'.
y = 0

Simplifying
y = 0

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