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Simplifying 8 + y = 15 + -3(y + 1) Reorder the terms: 8 + y = 15 + -3(1 + y) 8 + y = 15 + (1 * -3 + y * -3) 8 + y = 15 + (-3 + -3y) Combine like terms: 15 + -3 = 12 8 + y = 12 + -3y Solving 8 + y = 12 + -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. 8 + y + 3y = 12 + -3y + 3y Combine like terms: y + 3y = 4y 8 + 4y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + 4y = 12 + 0 8 + 4y = 12 Add '-8' to each side of the equation. 8 + -8 + 4y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = 12 + -8 4y = 12 + -8 Combine like terms: 12 + -8 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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