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Simplifying 3(y + 5) + 10(y + -4) + 5 = 0 Reorder the terms: 3(5 + y) + 10(y + -4) + 5 = 0 (5 * 3 + y * 3) + 10(y + -4) + 5 = 0 (15 + 3y) + 10(y + -4) + 5 = 0 Reorder the terms: 15 + 3y + 10(-4 + y) + 5 = 0 15 + 3y + (-4 * 10 + y * 10) + 5 = 0 15 + 3y + (-40 + 10y) + 5 = 0 Reorder the terms: 15 + -40 + 5 + 3y + 10y = 0 Combine like terms: 15 + -40 = -25 -25 + 5 + 3y + 10y = 0 Combine like terms: -25 + 5 = -20 -20 + 3y + 10y = 0 Combine like terms: 3y + 10y = 13y -20 + 13y = 0 Solving -20 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 13y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 13y = 0 + 20 13y = 0 + 20 Combine like terms: 0 + 20 = 20 13y = 20 Divide each side by '13'. y = 1.538461538 Simplifying y = 1.538461538
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