4y-6+y+53=8y+50-6x

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Solution for 4y-6+y+53=8y+50-6x equation:


Simplifying
4y + -6 + y + 53 = 8y + 50 + -6x

Reorder the terms:
-6 + 53 + 4y + y = 8y + 50 + -6x

Combine like terms: -6 + 53 = 47
47 + 4y + y = 8y + 50 + -6x

Combine like terms: 4y + y = 5y
47 + 5y = 8y + 50 + -6x

Reorder the terms:
47 + 5y = 50 + -6x + 8y

Solving
47 + 5y = 50 + -6x + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
47 + 5y + -8y = 50 + -6x + 8y + -8y

Combine like terms: 5y + -8y = -3y
47 + -3y = 50 + -6x + 8y + -8y

Combine like terms: 8y + -8y = 0
47 + -3y = 50 + -6x + 0
47 + -3y = 50 + -6x

Add '-47' to each side of the equation.
47 + -47 + -3y = 50 + -47 + -6x

Combine like terms: 47 + -47 = 0
0 + -3y = 50 + -47 + -6x
-3y = 50 + -47 + -6x

Combine like terms: 50 + -47 = 3
-3y = 3 + -6x

Divide each side by '-3'.
y = -1 + 2x

Simplifying
y = -1 + 2x

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