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Simplifying 4(1 + -1y) + 3y = -2(y + 1) (1 * 4 + -1y * 4) + 3y = -2(y + 1) (4 + -4y) + 3y = -2(y + 1) Combine like terms: -4y + 3y = -1y 4 + -1y = -2(y + 1) Reorder the terms: 4 + -1y = -2(1 + y) 4 + -1y = (1 * -2 + y * -2) 4 + -1y = (-2 + -2y) Solving 4 + -1y = -2 + -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. 4 + -1y + 2y = -2 + -2y + 2y Combine like terms: -1y + 2y = 1y 4 + 1y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 1y = -2 + 0 4 + 1y = -2 Add '-4' to each side of the equation. 4 + -4 + 1y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = -2 + -4 1y = -2 + -4 Combine like terms: -2 + -4 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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