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Simplifying 3y + 15 + -4y + 8 = -2y + 10 Reorder the terms: 15 + 8 + 3y + -4y = -2y + 10 Combine like terms: 15 + 8 = 23 23 + 3y + -4y = -2y + 10 Combine like terms: 3y + -4y = -1y 23 + -1y = -2y + 10 Reorder the terms: 23 + -1y = 10 + -2y Solving 23 + -1y = 10 + -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. 23 + -1y + 2y = 10 + -2y + 2y Combine like terms: -1y + 2y = 1y 23 + 1y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 23 + 1y = 10 + 0 23 + 1y = 10 Add '-23' to each side of the equation. 23 + -23 + 1y = 10 + -23 Combine like terms: 23 + -23 = 0 0 + 1y = 10 + -23 1y = 10 + -23 Combine like terms: 10 + -23 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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