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Simplifying 17 + 3y + -2 = 10y + -10 + -2y Reorder the terms: 17 + -2 + 3y = 10y + -10 + -2y Combine like terms: 17 + -2 = 15 15 + 3y = 10y + -10 + -2y Reorder the terms: 15 + 3y = -10 + 10y + -2y Combine like terms: 10y + -2y = 8y 15 + 3y = -10 + 8y Solving 15 + 3y = -10 + 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. 15 + 3y + -8y = -10 + 8y + -8y Combine like terms: 3y + -8y = -5y 15 + -5y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 15 + -5y = -10 + 0 15 + -5y = -10 Add '-15' to each side of the equation. 15 + -15 + -5y = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -10 + -15 -5y = -10 + -15 Combine like terms: -10 + -15 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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