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Simplifying -5y + 1(1y + 9) = -1 + -4(4 + -1y) Reorder the terms: -5y + 1(9 + 1y) = -1 + -4(4 + -1y) -5y + (9 * 1 + 1y * 1) = -1 + -4(4 + -1y) -5y + (9 + 1y) = -1 + -4(4 + -1y) Reorder the terms: 9 + -5y + 1y = -1 + -4(4 + -1y) Combine like terms: -5y + 1y = -4y 9 + -4y = -1 + -4(4 + -1y) 9 + -4y = -1 + (4 * -4 + -1y * -4) 9 + -4y = -1 + (-16 + 4y) Combine like terms: -1 + -16 = -17 9 + -4y = -17 + 4y Solving 9 + -4y = -17 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 9 + -4y + -4y = -17 + 4y + -4y Combine like terms: -4y + -4y = -8y 9 + -8y = -17 + 4y + -4y Combine like terms: 4y + -4y = 0 9 + -8y = -17 + 0 9 + -8y = -17 Add '-9' to each side of the equation. 9 + -9 + -8y = -17 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = -17 + -9 -8y = -17 + -9 Combine like terms: -17 + -9 = -26 -8y = -26 Divide each side by '-8'. y = 3.25 Simplifying y = 3.25
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