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Simplifying 5 + y = 10 + -2(y + 1) Reorder the terms: 5 + y = 10 + -2(1 + y) 5 + y = 10 + (1 * -2 + y * -2) 5 + y = 10 + (-2 + -2y) Combine like terms: 10 + -2 = 8 5 + y = 8 + -2y Solving 5 + y = 8 + -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. 5 + y + 2y = 8 + -2y + 2y Combine like terms: y + 2y = 3y 5 + 3y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 5 + 3y = 8 + 0 5 + 3y = 8 Add '-5' to each side of the equation. 5 + -5 + 3y = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 8 + -5 3y = 8 + -5 Combine like terms: 8 + -5 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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