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Simplifying -5(y + 1) = -8y + 7 Reorder the terms: -5(1 + y) = -8y + 7 (1 * -5 + y * -5) = -8y + 7 (-5 + -5y) = -8y + 7 Reorder the terms: -5 + -5y = 7 + -8y Solving -5 + -5y = 7 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -5 + -5y + 8y = 7 + -8y + 8y Combine like terms: -5y + 8y = 3y -5 + 3y = 7 + -8y + 8y Combine like terms: -8y + 8y = 0 -5 + 3y = 7 + 0 -5 + 3y = 7 Add '5' to each side of the equation. -5 + 5 + 3y = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 7 + 5 3y = 7 + 5 Combine like terms: 7 + 5 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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