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Simplifying 7 + y = 12 + -2(y + 1) Reorder the terms: 7 + y = 12 + -2(1 + y) 7 + y = 12 + (1 * -2 + y * -2) 7 + y = 12 + (-2 + -2y) Combine like terms: 12 + -2 = 10 7 + y = 10 + -2y Solving 7 + y = 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. 7 + y + 2y = 10 + -2y + 2y Combine like terms: y + 2y = 3y 7 + 3y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + 3y = 10 + 0 7 + 3y = 10 Add '-7' to each side of the equation. 7 + -7 + 3y = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 10 + -7 3y = 10 + -7 Combine like terms: 10 + -7 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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