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Simplifying 3(y + 5) = -1y + 7 Reorder the terms: 3(5 + y) = -1y + 7 (5 * 3 + y * 3) = -1y + 7 (15 + 3y) = -1y + 7 Reorder the terms: 15 + 3y = 7 + -1y Solving 15 + 3y = 7 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 15 + 3y + y = 7 + -1y + y Combine like terms: 3y + y = 4y 15 + 4y = 7 + -1y + y Combine like terms: -1y + y = 0 15 + 4y = 7 + 0 15 + 4y = 7 Add '-15' to each side of the equation. 15 + -15 + 4y = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = 7 + -15 4y = 7 + -15 Combine like terms: 7 + -15 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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