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Simplifying 7(y + -8) + 24 = 9(y + -6) Reorder the terms: 7(-8 + y) + 24 = 9(y + -6) (-8 * 7 + y * 7) + 24 = 9(y + -6) (-56 + 7y) + 24 = 9(y + -6) Reorder the terms: -56 + 24 + 7y = 9(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = 9(y + -6) Reorder the terms: -32 + 7y = 9(-6 + y) -32 + 7y = (-6 * 9 + y * 9) -32 + 7y = (-54 + 9y) Solving -32 + 7y = -54 + 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. -32 + 7y + -9y = -54 + 9y + -9y Combine like terms: 7y + -9y = -2y -32 + -2y = -54 + 9y + -9y Combine like terms: 9y + -9y = 0 -32 + -2y = -54 + 0 -32 + -2y = -54 Add '32' to each side of the equation. -32 + 32 + -2y = -54 + 32 Combine like terms: -32 + 32 = 0 0 + -2y = -54 + 32 -2y = -54 + 32 Combine like terms: -54 + 32 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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