(y+20)=(4y-15)

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Solution for (y+20)=(4y-15) equation:


Simplifying
(y + 20) = (4y + -15)

Reorder the terms:
(20 + y) = (4y + -15)

Remove parenthesis around (20 + y)
20 + y = (4y + -15)

Reorder the terms:
20 + y = (-15 + 4y)

Remove parenthesis around (-15 + 4y)
20 + y = -15 + 4y

Solving
20 + y = -15 + 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.
20 + y + -4y = -15 + 4y + -4y

Combine like terms: y + -4y = -3y
20 + -3y = -15 + 4y + -4y

Combine like terms: 4y + -4y = 0
20 + -3y = -15 + 0
20 + -3y = -15

Add '-20' to each side of the equation.
20 + -20 + -3y = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = -15 + -20
-3y = -15 + -20

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

Divide each side by '-3'.
y = 11.66666667

Simplifying
y = 11.66666667

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