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Simplifying 5(y + 3) + -7 = 3(4 + -1y) Reorder the terms: 5(3 + y) + -7 = 3(4 + -1y) (3 * 5 + y * 5) + -7 = 3(4 + -1y) (15 + 5y) + -7 = 3(4 + -1y) Reorder the terms: 15 + -7 + 5y = 3(4 + -1y) Combine like terms: 15 + -7 = 8 8 + 5y = 3(4 + -1y) 8 + 5y = (4 * 3 + -1y * 3) 8 + 5y = (12 + -3y) Solving 8 + 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. 8 + 5y + 3y = 12 + -3y + 3y Combine like terms: 5y + 3y = 8y 8 + 8y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + 8y = 12 + 0 8 + 8y = 12 Add '-8' to each side of the equation. 8 + -8 + 8y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = 12 + -8 8y = 12 + -8 Combine like terms: 12 + -8 = 4 8y = 4 Divide each side by '8'. y = 0.5 Simplifying y = 0.5
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