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Simplifying 5(y + 1) + -7y = 4y + 8 Reorder the terms: 5(1 + y) + -7y = 4y + 8 (1 * 5 + y * 5) + -7y = 4y + 8 (5 + 5y) + -7y = 4y + 8 Combine like terms: 5y + -7y = -2y 5 + -2y = 4y + 8 Reorder the terms: 5 + -2y = 8 + 4y Solving 5 + -2y = 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. 5 + -2y + -4y = 8 + 4y + -4y Combine like terms: -2y + -4y = -6y 5 + -6y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + -6y = 8 + 0 5 + -6y = 8 Add '-5' to each side of the equation. 5 + -5 + -6y = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 8 + -5 -6y = 8 + -5 Combine like terms: 8 + -5 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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