2(y+5)=-1(x-2)

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Solution for 2(y+5)=-1(x-2) equation: 


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

Reorder the terms:
2(5 + y) = -1(x + -2)
(5 * 2 + y * 2) = -1(x + -2)
(10 + 2y) = -1(x + -2)

Reorder the terms:
10 + 2y = -1(-2 + x)
10 + 2y = (-2 * -1 + x * -1)
10 + 2y = (2 + -1x)

Solving
10 + 2y = 2 + -1x

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 + 2y = 2 + -10 + -1x

Combine like terms: 10 + -10 = 0
0 + 2y = 2 + -10 + -1x
2y = 2 + -10 + -1x

Combine like terms: 2 + -10 = -8
2y = -8 + -1x

Divide each side by '2'.
y = -4 + -0.5x

Simplifying
y = -4 + -0.5x

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