5(y-2)=21-2(x+3)

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Solution for 5(y-2)=21-2(x+3) equation:


Simplifying
5(y + -2) = 21 + -2(x + 3)

Reorder the terms:
5(-2 + y) = 21 + -2(x + 3)
(-2 * 5 + y * 5) = 21 + -2(x + 3)
(-10 + 5y) = 21 + -2(x + 3)

Reorder the terms:
-10 + 5y = 21 + -2(3 + x)
-10 + 5y = 21 + (3 * -2 + x * -2)
-10 + 5y = 21 + (-6 + -2x)

Combine like terms: 21 + -6 = 15
-10 + 5y = 15 + -2x

Solving
-10 + 5y = 15 + -2x

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 5y = 15 + 10 + -2x

Combine like terms: -10 + 10 = 0
0 + 5y = 15 + 10 + -2x
5y = 15 + 10 + -2x

Combine like terms: 15 + 10 = 25
5y = 25 + -2x

Divide each side by '5'.
y = 5 + -0.4x

Simplifying
y = 5 + -0.4x

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