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Simplifying 9(y + -6) = 8(y + -9) Reorder the terms: 9(-6 + y) = 8(y + -9) (-6 * 9 + y * 9) = 8(y + -9) (-54 + 9y) = 8(y + -9) Reorder the terms: -54 + 9y = 8(-9 + y) -54 + 9y = (-9 * 8 + y * 8) -54 + 9y = (-72 + 8y) Solving -54 + 9y = -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. -54 + 9y + -8y = -72 + 8y + -8y Combine like terms: 9y + -8y = 1y -54 + 1y = -72 + 8y + -8y Combine like terms: 8y + -8y = 0 -54 + 1y = -72 + 0 -54 + 1y = -72 Add '54' to each side of the equation. -54 + 54 + 1y = -72 + 54 Combine like terms: -54 + 54 = 0 0 + 1y = -72 + 54 1y = -72 + 54 Combine like terms: -72 + 54 = -18 1y = -18 Divide each side by '1'. y = -18 Simplifying y = -18
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