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Simplifying -42 + -9y + 18 = 32y + 96 + 15y Reorder the terms: -42 + 18 + -9y = 32y + 96 + 15y Combine like terms: -42 + 18 = -24 -24 + -9y = 32y + 96 + 15y Reorder the terms: -24 + -9y = 96 + 32y + 15y Combine like terms: 32y + 15y = 47y -24 + -9y = 96 + 47y Solving -24 + -9y = 96 + 47y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47y' to each side of the equation. -24 + -9y + -47y = 96 + 47y + -47y Combine like terms: -9y + -47y = -56y -24 + -56y = 96 + 47y + -47y Combine like terms: 47y + -47y = 0 -24 + -56y = 96 + 0 -24 + -56y = 96 Add '24' to each side of the equation. -24 + 24 + -56y = 96 + 24 Combine like terms: -24 + 24 = 0 0 + -56y = 96 + 24 -56y = 96 + 24 Combine like terms: 96 + 24 = 120 -56y = 120 Divide each side by '-56'. y = -2.142857143 Simplifying y = -2.142857143
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