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Simplifying 7y + -5 = 8(5 + -1y) Reorder the terms: -5 + 7y = 8(5 + -1y) -5 + 7y = (5 * 8 + -1y * 8) -5 + 7y = (40 + -8y) Solving -5 + 7y = 40 + -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 + 7y + 8y = 40 + -8y + 8y Combine like terms: 7y + 8y = 15y -5 + 15y = 40 + -8y + 8y Combine like terms: -8y + 8y = 0 -5 + 15y = 40 + 0 -5 + 15y = 40 Add '5' to each side of the equation. -5 + 5 + 15y = 40 + 5 Combine like terms: -5 + 5 = 0 0 + 15y = 40 + 5 15y = 40 + 5 Combine like terms: 40 + 5 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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