3y-6y+y+42=8y+40-6y

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Solution for 3y-6y+y+42=8y+40-6y equation:


Simplifying
3y + -6y + y + 42 = 8y + 40 + -6y

Reorder the terms:
42 + 3y + -6y + y = 8y + 40 + -6y

Combine like terms: 3y + -6y = -3y
42 + -3y + y = 8y + 40 + -6y

Combine like terms: -3y + y = -2y
42 + -2y = 8y + 40 + -6y

Reorder the terms:
42 + -2y = 40 + 8y + -6y

Combine like terms: 8y + -6y = 2y
42 + -2y = 40 + 2y

Solving
42 + -2y = 40 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
42 + -2y + -2y = 40 + 2y + -2y

Combine like terms: -2y + -2y = -4y
42 + -4y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
42 + -4y = 40 + 0
42 + -4y = 40

Add '-42' to each side of the equation.
42 + -42 + -4y = 40 + -42

Combine like terms: 42 + -42 = 0
0 + -4y = 40 + -42
-4y = 40 + -42

Combine like terms: 40 + -42 = -2
-4y = -2

Divide each side by '-4'.
y = 0.5

Simplifying
y = 0.5

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