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Simplifying 4(y + 2) + -5(y + -1) = y + -1 Reorder the terms: 4(2 + y) + -5(y + -1) = y + -1 (2 * 4 + y * 4) + -5(y + -1) = y + -1 (8 + 4y) + -5(y + -1) = y + -1 Reorder the terms: 8 + 4y + -5(-1 + y) = y + -1 8 + 4y + (-1 * -5 + y * -5) = y + -1 8 + 4y + (5 + -5y) = y + -1 Reorder the terms: 8 + 5 + 4y + -5y = y + -1 Combine like terms: 8 + 5 = 13 13 + 4y + -5y = y + -1 Combine like terms: 4y + -5y = -1y 13 + -1y = y + -1 Reorder the terms: 13 + -1y = -1 + y Solving 13 + -1y = -1 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 13 + -1y + -1y = -1 + y + -1y Combine like terms: -1y + -1y = -2y 13 + -2y = -1 + y + -1y Combine like terms: y + -1y = 0 13 + -2y = -1 + 0 13 + -2y = -1 Add '-13' to each side of the equation. 13 + -13 + -2y = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -2y = -1 + -13 -2y = -1 + -13 Combine like terms: -1 + -13 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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