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Simplifying Y + -2x + 1 = 4(x + -1) Reorder the terms: 1 + Y + -2x = 4(x + -1) Reorder the terms: 1 + Y + -2x = 4(-1 + x) 1 + Y + -2x = (-1 * 4 + x * 4) 1 + Y + -2x = (-4 + 4x) Solving 1 + Y + -2x = -4 + 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 + Y + -1 + -2x = -4 + -1 + 4x Reorder the terms: 1 + -1 + Y + -2x = -4 + -1 + 4x Combine like terms: 1 + -1 = 0 0 + Y + -2x = -4 + -1 + 4x Y + -2x = -4 + -1 + 4x Combine like terms: -4 + -1 = -5 Y + -2x = -5 + 4x Add '2x' to each side of the equation. Y + -2x + 2x = -5 + 4x + 2x Combine like terms: -2x + 2x = 0 Y + 0 = -5 + 4x + 2x Y = -5 + 4x + 2x Combine like terms: 4x + 2x = 6x Y = -5 + 6x Simplifying Y = -5 + 6x
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