4y-20=7(y-5)

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Solution for 4y-20=7(y-5) equation:


Simplifying
4y + -20 = 7(y + -5)

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

Reorder the terms:
-20 + 4y = 7(-5 + y)
-20 + 4y = (-5 * 7 + y * 7)
-20 + 4y = (-35 + 7y)

Solving
-20 + 4y = -35 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-20 + 4y + -7y = -35 + 7y + -7y

Combine like terms: 4y + -7y = -3y
-20 + -3y = -35 + 7y + -7y

Combine like terms: 7y + -7y = 0
-20 + -3y = -35 + 0
-20 + -3y = -35

Add '20' to each side of the equation.
-20 + 20 + -3y = -35 + 20

Combine like terms: -20 + 20 = 0
0 + -3y = -35 + 20
-3y = -35 + 20

Combine like terms: -35 + 20 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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