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Simplifying -45 + -10y + 12 = -24y + 9 + 8y Reorder the terms: -45 + 12 + -10y = -24y + 9 + 8y Combine like terms: -45 + 12 = -33 -33 + -10y = -24y + 9 + 8y Reorder the terms: -33 + -10y = 9 + -24y + 8y Combine like terms: -24y + 8y = -16y -33 + -10y = 9 + -16y Solving -33 + -10y = 9 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -33 + -10y + 16y = 9 + -16y + 16y Combine like terms: -10y + 16y = 6y -33 + 6y = 9 + -16y + 16y Combine like terms: -16y + 16y = 0 -33 + 6y = 9 + 0 -33 + 6y = 9 Add '33' to each side of the equation. -33 + 33 + 6y = 9 + 33 Combine like terms: -33 + 33 = 0 0 + 6y = 9 + 33 6y = 9 + 33 Combine like terms: 9 + 33 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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