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Simplifying 2(y + 1) = (y + 2) + -1(4y + 10) Reorder the terms: 2(1 + y) = (y + 2) + -1(4y + 10) (1 * 2 + y * 2) = (y + 2) + -1(4y + 10) (2 + 2y) = (y + 2) + -1(4y + 10) Reorder the terms: 2 + 2y = (2 + y) + -1(4y + 10) Remove parenthesis around (2 + y) 2 + 2y = 2 + y + -1(4y + 10) Reorder the terms: 2 + 2y = 2 + y + -1(10 + 4y) 2 + 2y = 2 + y + (10 * -1 + 4y * -1) 2 + 2y = 2 + y + (-10 + -4y) Reorder the terms: 2 + 2y = 2 + -10 + y + -4y Combine like terms: 2 + -10 = -8 2 + 2y = -8 + y + -4y Combine like terms: y + -4y = -3y 2 + 2y = -8 + -3y Solving 2 + 2y = -8 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 2 + 2y + 3y = -8 + -3y + 3y Combine like terms: 2y + 3y = 5y 2 + 5y = -8 + -3y + 3y Combine like terms: -3y + 3y = 0 2 + 5y = -8 + 0 2 + 5y = -8 Add '-2' to each side of the equation. 2 + -2 + 5y = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = -8 + -2 5y = -8 + -2 Combine like terms: -8 + -2 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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