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Simplifying y + -2x + 3 = -2(x + -1y) + -4 Reorder the terms: 3 + -2x + y = -2(x + -1y) + -4 3 + -2x + y = (x * -2 + -1y * -2) + -4 3 + -2x + y = (-2x + 2y) + -4 Reorder the terms: 3 + -2x + y = -4 + -2x + 2y Add '2x' to each side of the equation. 3 + -2x + 2x + y = -4 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 3 + 0 + y = -4 + -2x + 2x + 2y 3 + y = -4 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 3 + y = -4 + 0 + 2y 3 + y = -4 + 2y Solving 3 + y = -4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 3 + y + -2y = -4 + 2y + -2y Combine like terms: y + -2y = -1y 3 + -1y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + -1y = -4 + 0 3 + -1y = -4 Add '-3' to each side of the equation. 3 + -3 + -1y = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -4 + -3 -1y = -4 + -3 Combine like terms: -4 + -3 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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