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Simplifying 3y + -10 + 2y = 5y + 17 + -3y Reorder the terms: -10 + 3y + 2y = 5y + 17 + -3y Combine like terms: 3y + 2y = 5y -10 + 5y = 5y + 17 + -3y Reorder the terms: -10 + 5y = 17 + 5y + -3y Combine like terms: 5y + -3y = 2y -10 + 5y = 17 + 2y Solving -10 + 5y = 17 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -10 + 5y + -2y = 17 + 2y + -2y Combine like terms: 5y + -2y = 3y -10 + 3y = 17 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 3y = 17 + 0 -10 + 3y = 17 Add '10' to each side of the equation. -10 + 10 + 3y = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 3y = 17 + 10 3y = 17 + 10 Combine like terms: 17 + 10 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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