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Simplifying 3(y + 5) + 5(y + -4) + 7 = 0 Reorder the terms: 3(5 + y) + 5(y + -4) + 7 = 0 (5 * 3 + y * 3) + 5(y + -4) + 7 = 0 (15 + 3y) + 5(y + -4) + 7 = 0 Reorder the terms: 15 + 3y + 5(-4 + y) + 7 = 0 15 + 3y + (-4 * 5 + y * 5) + 7 = 0 15 + 3y + (-20 + 5y) + 7 = 0 Reorder the terms: 15 + -20 + 7 + 3y + 5y = 0 Combine like terms: 15 + -20 = -5 -5 + 7 + 3y + 5y = 0 Combine like terms: -5 + 7 = 2 2 + 3y + 5y = 0 Combine like terms: 3y + 5y = 8y 2 + 8y = 0 Solving 2 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = 0 + -2 8y = 0 + -2 Combine like terms: 0 + -2 = -2 8y = -2 Divide each side by '8'. y = -0.25 Simplifying y = -0.25
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