4(y+5)=8(x+2)+4x

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Solution for 4(y+5)=8(x+2)+4x equation:


Simplifying
4(y + 5) = 8(x + 2) + 4x

Reorder the terms:
4(5 + y) = 8(x + 2) + 4x
(5 * 4 + y * 4) = 8(x + 2) + 4x
(20 + 4y) = 8(x + 2) + 4x

Reorder the terms:
20 + 4y = 8(2 + x) + 4x
20 + 4y = (2 * 8 + x * 8) + 4x
20 + 4y = (16 + 8x) + 4x

Combine like terms: 8x + 4x = 12x
20 + 4y = 16 + 12x

Solving
20 + 4y = 16 + 12x

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 4y = 16 + -20 + 12x

Combine like terms: 20 + -20 = 0
0 + 4y = 16 + -20 + 12x
4y = 16 + -20 + 12x

Combine like terms: 16 + -20 = -4
4y = -4 + 12x

Divide each side by '4'.
y = -1 + 3x

Simplifying
y = -1 + 3x

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