2y+10=4y-4x+8

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Solution for 2y+10=4y-4x+8 equation:


Simplifying
2y + 10 = 4y + -4x + 8

Reorder the terms:
10 + 2y = 4y + -4x + 8

Reorder the terms:
10 + 2y = 8 + -4x + 4y

Solving
10 + 2y = 8 + -4x + 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.
10 + 2y + -4y = 8 + -4x + 4y + -4y

Combine like terms: 2y + -4y = -2y
10 + -2y = 8 + -4x + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -2y = 8 + -4x + 0
10 + -2y = 8 + -4x

Add '-10' to each side of the equation.
10 + -10 + -2y = 8 + -10 + -4x

Combine like terms: 10 + -10 = 0
0 + -2y = 8 + -10 + -4x
-2y = 8 + -10 + -4x

Combine like terms: 8 + -10 = -2
-2y = -2 + -4x

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

Simplifying
y = 1 + 2x

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