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Simplifying 3y + 10 + -1y = 8 + y + 7 Reorder the terms: 10 + 3y + -1y = 8 + y + 7 Combine like terms: 3y + -1y = 2y 10 + 2y = 8 + y + 7 Reorder the terms: 10 + 2y = 8 + 7 + y Combine like terms: 8 + 7 = 15 10 + 2y = 15 + y Solving 10 + 2y = 15 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 10 + 2y + -1y = 15 + y + -1y Combine like terms: 2y + -1y = 1y 10 + 1y = 15 + y + -1y Combine like terms: y + -1y = 0 10 + 1y = 15 + 0 10 + 1y = 15 Add '-10' to each side of the equation. 10 + -10 + 1y = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 15 + -10 1y = 15 + -10 Combine like terms: 15 + -10 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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