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

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


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

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

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

Solving
-20 + 4y = 8 + 2x

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 = 8 + 20 + 2x

Combine like terms: -20 + 20 = 0
0 + 4y = 8 + 20 + 2x
4y = 8 + 20 + 2x

Combine like terms: 8 + 20 = 28
4y = 28 + 2x

Divide each side by '4'.
y = 7 + 0.5x

Simplifying
y = 7 + 0.5x

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