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Simplifying 35 + 3y = 45 + 2y Solving 35 + 3y = 45 + 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. 35 + 3y + -2y = 45 + 2y + -2y Combine like terms: 3y + -2y = 1y 35 + 1y = 45 + 2y + -2y Combine like terms: 2y + -2y = 0 35 + 1y = 45 + 0 35 + 1y = 45 Add '-35' to each side of the equation. 35 + -35 + 1y = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 1y = 45 + -35 1y = 45 + -35 Combine like terms: 45 + -35 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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