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Simplifying 5(y + 1) + -1y = -4y + 7 Reorder the terms: 5(1 + y) + -1y = -4y + 7 (1 * 5 + y * 5) + -1y = -4y + 7 (5 + 5y) + -1y = -4y + 7 Combine like terms: 5y + -1y = 4y 5 + 4y = -4y + 7 Reorder the terms: 5 + 4y = 7 + -4y Solving 5 + 4y = 7 + -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 + 4y + 4y = 7 + -4y + 4y Combine like terms: 4y + 4y = 8y 5 + 8y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 5 + 8y = 7 + 0 5 + 8y = 7 Add '-5' to each side of the equation. 5 + -5 + 8y = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 8y = 7 + -5 8y = 7 + -5 Combine like terms: 7 + -5 = 2 8y = 2 Divide each side by '8'. y = 0.25 Simplifying y = 0.25
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