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Simplifying 5y + 7 = 3(4 + -1y) Reorder the terms: 7 + 5y = 3(4 + -1y) 7 + 5y = (4 * 3 + -1y * 3) 7 + 5y = (12 + -3y) Solving 7 + 5y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 7 + 5y + 3y = 12 + -3y + 3y Combine like terms: 5y + 3y = 8y 7 + 8y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + 8y = 12 + 0 7 + 8y = 12 Add '-7' to each side of the equation. 7 + -7 + 8y = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 12 + -7 8y = 12 + -7 Combine like terms: 12 + -7 = 5 8y = 5 Divide each side by '8'. y = 0.625 Simplifying y = 0.625
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