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Simplifying 3(y + 5) + 10(y + -3) + 5 = 0 Reorder the terms: 3(5 + y) + 10(y + -3) + 5 = 0 (5 * 3 + y * 3) + 10(y + -3) + 5 = 0 (15 + 3y) + 10(y + -3) + 5 = 0 Reorder the terms: 15 + 3y + 10(-3 + y) + 5 = 0 15 + 3y + (-3 * 10 + y * 10) + 5 = 0 15 + 3y + (-30 + 10y) + 5 = 0 Reorder the terms: 15 + -30 + 5 + 3y + 10y = 0 Combine like terms: 15 + -30 = -15 -15 + 5 + 3y + 10y = 0 Combine like terms: -15 + 5 = -10 -10 + 3y + 10y = 0 Combine like terms: 3y + 10y = 13y -10 + 13y = 0 Solving -10 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 13y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 13y = 0 + 10 13y = 0 + 10 Combine like terms: 0 + 10 = 10 13y = 10 Divide each side by '13'. y = 0.7692307692 Simplifying y = 0.7692307692
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