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Simplifying 8y + -24 = -8(y + 9) Reorder the terms: -24 + 8y = -8(y + 9) Reorder the terms: -24 + 8y = -8(9 + y) -24 + 8y = (9 * -8 + y * -8) -24 + 8y = (-72 + -8y) Solving -24 + 8y = -72 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -24 + 8y + 8y = -72 + -8y + 8y Combine like terms: 8y + 8y = 16y -24 + 16y = -72 + -8y + 8y Combine like terms: -8y + 8y = 0 -24 + 16y = -72 + 0 -24 + 16y = -72 Add '24' to each side of the equation. -24 + 24 + 16y = -72 + 24 Combine like terms: -24 + 24 = 0 0 + 16y = -72 + 24 16y = -72 + 24 Combine like terms: -72 + 24 = -48 16y = -48 Divide each side by '16'. y = -3 Simplifying y = -3
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