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Simplifying 5(y + 1) = 4y + -3 Reorder the terms: 5(1 + y) = 4y + -3 (1 * 5 + y * 5) = 4y + -3 (5 + 5y) = 4y + -3 Reorder the terms: 5 + 5y = -3 + 4y Solving 5 + 5y = -3 + 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. 5 + 5y + -4y = -3 + 4y + -4y Combine like terms: 5y + -4y = 1y 5 + 1y = -3 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + 1y = -3 + 0 5 + 1y = -3 Add '-5' to each side of the equation. 5 + -5 + 1y = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = -3 + -5 1y = -3 + -5 Combine like terms: -3 + -5 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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