5(2-x)=y-5x

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


Simplifying
5(2 + -1x) = y + -5x
(2 * 5 + -1x * 5) = y + -5x
(10 + -5x) = y + -5x

Reorder the terms:
10 + -5x = -5x + y

Add '5x' to each side of the equation.
10 + -5x + 5x = -5x + 5x + y

Combine like terms: -5x + 5x = 0
10 + 0 = -5x + 5x + y
10 = -5x + 5x + y

Combine like terms: -5x + 5x = 0
10 = 0 + y
10 = y

Solving
10 = y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
10 + -1y = y + -1y

Combine like terms: y + -1y = 0
10 + -1y = 0

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10

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