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