2y-1=-4(x-3)-10

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Solution for 2y-1=-4(x-3)-10 equation:


Simplifying
2y + -1 = -4(x + -3) + -10

Reorder the terms:
-1 + 2y = -4(x + -3) + -10

Reorder the terms:
-1 + 2y = -4(-3 + x) + -10
-1 + 2y = (-3 * -4 + x * -4) + -10
-1 + 2y = (12 + -4x) + -10

Reorder the terms:
-1 + 2y = 12 + -10 + -4x

Combine like terms: 12 + -10 = 2
-1 + 2y = 2 + -4x

Solving
-1 + 2y = 2 + -4x

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 2y = 2 + 1 + -4x

Combine like terms: -1 + 1 = 0
0 + 2y = 2 + 1 + -4x
2y = 2 + 1 + -4x

Combine like terms: 2 + 1 = 3
2y = 3 + -4x

Divide each side by '2'.
y = 1.5 + -2x

Simplifying
y = 1.5 + -2x

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