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Simplifying 7 + -3(y + 1) + 8 = 4 + -5(y + -2) Reorder the terms: 7 + -3(1 + y) + 8 = 4 + -5(y + -2) 7 + (1 * -3 + y * -3) + 8 = 4 + -5(y + -2) 7 + (-3 + -3y) + 8 = 4 + -5(y + -2) Reorder the terms: 7 + -3 + 8 + -3y = 4 + -5(y + -2) Combine like terms: 7 + -3 = 4 4 + 8 + -3y = 4 + -5(y + -2) Combine like terms: 4 + 8 = 12 12 + -3y = 4 + -5(y + -2) Reorder the terms: 12 + -3y = 4 + -5(-2 + y) 12 + -3y = 4 + (-2 * -5 + y * -5) 12 + -3y = 4 + (10 + -5y) Combine like terms: 4 + 10 = 14 12 + -3y = 14 + -5y Solving 12 + -3y = 14 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 12 + -3y + 5y = 14 + -5y + 5y Combine like terms: -3y + 5y = 2y 12 + 2y = 14 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + 2y = 14 + 0 12 + 2y = 14 Add '-12' to each side of the equation. 12 + -12 + 2y = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 14 + -12 2y = 14 + -12 Combine like terms: 14 + -12 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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