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Simplifying -4y + -10 = 5y + 17 Reorder the terms: -10 + -4y = 5y + 17 Reorder the terms: -10 + -4y = 17 + 5y Solving -10 + -4y = 17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -10 + -4y + -5y = 17 + 5y + -5y Combine like terms: -4y + -5y = -9y -10 + -9y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + -9y = 17 + 0 -10 + -9y = 17 Add '10' to each side of the equation. -10 + 10 + -9y = 17 + 10 Combine like terms: -10 + 10 = 0 0 + -9y = 17 + 10 -9y = 17 + 10 Combine like terms: 17 + 10 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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