7y+4=4(y-5)

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


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

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

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

Solving
4 + 7y = -20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
4 + 7y + -4y = -20 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
4 + 3y = -20 + 0
4 + 3y = -20

Add '-4' to each side of the equation.
4 + -4 + 3y = -20 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = -20 + -4
3y = -20 + -4

Combine like terms: -20 + -4 = -24
3y = -24

Divide each side by '3'.
y = -8

Simplifying
y = -8

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