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Simplifying 2(y + 4) + 10(y + -5) + 3 = 0 Reorder the terms: 2(4 + y) + 10(y + -5) + 3 = 0 (4 * 2 + y * 2) + 10(y + -5) + 3 = 0 (8 + 2y) + 10(y + -5) + 3 = 0 Reorder the terms: 8 + 2y + 10(-5 + y) + 3 = 0 8 + 2y + (-5 * 10 + y * 10) + 3 = 0 8 + 2y + (-50 + 10y) + 3 = 0 Reorder the terms: 8 + -50 + 3 + 2y + 10y = 0 Combine like terms: 8 + -50 = -42 -42 + 3 + 2y + 10y = 0 Combine like terms: -42 + 3 = -39 -39 + 2y + 10y = 0 Combine like terms: 2y + 10y = 12y -39 + 12y = 0 Solving -39 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 12y = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 12y = 0 + 39 12y = 0 + 39 Combine like terms: 0 + 39 = 39 12y = 39 Divide each side by '12'. y = 3.25 Simplifying y = 3.25
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