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Simplifying -5y + -1(-9y + -7) = 5 + 4(1 + -1y) Reorder the terms: -5y + -1(-7 + -9y) = 5 + 4(1 + -1y) -5y + (-7 * -1 + -9y * -1) = 5 + 4(1 + -1y) -5y + (7 + 9y) = 5 + 4(1 + -1y) Reorder the terms: 7 + -5y + 9y = 5 + 4(1 + -1y) Combine like terms: -5y + 9y = 4y 7 + 4y = 5 + 4(1 + -1y) 7 + 4y = 5 + (1 * 4 + -1y * 4) 7 + 4y = 5 + (4 + -4y) Combine like terms: 5 + 4 = 9 7 + 4y = 9 + -4y Solving 7 + 4y = 9 + -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. 7 + 4y + 4y = 9 + -4y + 4y Combine like terms: 4y + 4y = 8y 7 + 8y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 8y = 9 + 0 7 + 8y = 9 Add '-7' to each side of the equation. 7 + -7 + 8y = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 9 + -7 8y = 9 + -7 Combine like terms: 9 + -7 = 2 8y = 2 Divide each side by '8'. y = 0.25 Simplifying y = 0.25
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