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