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Simplifying -8(y + -5) + -10 = -24 + -1(y + -5) Reorder the terms: -8(-5 + y) + -10 = -24 + -1(y + -5) (-5 * -8 + y * -8) + -10 = -24 + -1(y + -5) (40 + -8y) + -10 = -24 + -1(y + -5) Reorder the terms: 40 + -10 + -8y = -24 + -1(y + -5) Combine like terms: 40 + -10 = 30 30 + -8y = -24 + -1(y + -5) Reorder the terms: 30 + -8y = -24 + -1(-5 + y) 30 + -8y = -24 + (-5 * -1 + y * -1) 30 + -8y = -24 + (5 + -1y) Combine like terms: -24 + 5 = -19 30 + -8y = -19 + -1y Solving 30 + -8y = -19 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 30 + -8y + y = -19 + -1y + y Combine like terms: -8y + y = -7y 30 + -7y = -19 + -1y + y Combine like terms: -1y + y = 0 30 + -7y = -19 + 0 30 + -7y = -19 Add '-30' to each side of the equation. 30 + -30 + -7y = -19 + -30 Combine like terms: 30 + -30 = 0 0 + -7y = -19 + -30 -7y = -19 + -30 Combine like terms: -19 + -30 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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