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Simplifying 4(y + 1) + -1(3 + -5y) = -2(y + -2) Reorder the terms: 4(1 + y) + -1(3 + -5y) = -2(y + -2) (1 * 4 + y * 4) + -1(3 + -5y) = -2(y + -2) (4 + 4y) + -1(3 + -5y) = -2(y + -2) 4 + 4y + (3 * -1 + -5y * -1) = -2(y + -2) 4 + 4y + (-3 + 5y) = -2(y + -2) Reorder the terms: 4 + -3 + 4y + 5y = -2(y + -2) Combine like terms: 4 + -3 = 1 1 + 4y + 5y = -2(y + -2) Combine like terms: 4y + 5y = 9y 1 + 9y = -2(y + -2) Reorder the terms: 1 + 9y = -2(-2 + y) 1 + 9y = (-2 * -2 + y * -2) 1 + 9y = (4 + -2y) Solving 1 + 9y = 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. 1 + 9y + 2y = 4 + -2y + 2y Combine like terms: 9y + 2y = 11y 1 + 11y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 11y = 4 + 0 1 + 11y = 4 Add '-1' to each side of the equation. 1 + -1 + 11y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 11y = 4 + -1 11y = 4 + -1 Combine like terms: 4 + -1 = 3 11y = 3 Divide each side by '11'. y = 0.2727272727 Simplifying y = 0.2727272727
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