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Simplifying 2(y + 3) + 10(y + -5) + 3 = 0 Reorder the terms: 2(3 + y) + 10(y + -5) + 3 = 0 (3 * 2 + y * 2) + 10(y + -5) + 3 = 0 (6 + 2y) + 10(y + -5) + 3 = 0 Reorder the terms: 6 + 2y + 10(-5 + y) + 3 = 0 6 + 2y + (-5 * 10 + y * 10) + 3 = 0 6 + 2y + (-50 + 10y) + 3 = 0 Reorder the terms: 6 + -50 + 3 + 2y + 10y = 0 Combine like terms: 6 + -50 = -44 -44 + 3 + 2y + 10y = 0 Combine like terms: -44 + 3 = -41 -41 + 2y + 10y = 0 Combine like terms: 2y + 10y = 12y -41 + 12y = 0 Solving -41 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 12y = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 12y = 0 + 41 12y = 0 + 41 Combine like terms: 0 + 41 = 41 12y = 41 Divide each side by '12'. y = 3.416666667 Simplifying y = 3.416666667
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