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Simplifying -4(y + 7) = 9y + -24 Reorder the terms: -4(7 + y) = 9y + -24 (7 * -4 + y * -4) = 9y + -24 (-28 + -4y) = 9y + -24 Reorder the terms: -28 + -4y = -24 + 9y Solving -28 + -4y = -24 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -28 + -4y + -9y = -24 + 9y + -9y Combine like terms: -4y + -9y = -13y -28 + -13y = -24 + 9y + -9y Combine like terms: 9y + -9y = 0 -28 + -13y = -24 + 0 -28 + -13y = -24 Add '28' to each side of the equation. -28 + 28 + -13y = -24 + 28 Combine like terms: -28 + 28 = 0 0 + -13y = -24 + 28 -13y = -24 + 28 Combine like terms: -24 + 28 = 4 -13y = 4 Divide each side by '-13'. y = -0.3076923077 Simplifying y = -0.3076923077
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