2y+3=2-4(x-2)

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


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

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

Reorder the terms:
3 + 2y = 2 + -4(-2 + x)
3 + 2y = 2 + (-2 * -4 + x * -4)
3 + 2y = 2 + (8 + -4x)

Combine like terms: 2 + 8 = 10
3 + 2y = 10 + -4x

Solving
3 + 2y = 10 + -4x

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 10 + -3 + -4x

Combine like terms: 3 + -3 = 0
0 + 2y = 10 + -3 + -4x
2y = 10 + -3 + -4x

Combine like terms: 10 + -3 = 7
2y = 7 + -4x

Divide each side by '2'.
y = 3.5 + -2x

Simplifying
y = 3.5 + -2x

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