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Simplifying 3(y + 5) + 5(2 + -3y) = 0 Reorder the terms: 3(5 + y) + 5(2 + -3y) = 0 (5 * 3 + y * 3) + 5(2 + -3y) = 0 (15 + 3y) + 5(2 + -3y) = 0 15 + 3y + (2 * 5 + -3y * 5) = 0 15 + 3y + (10 + -15y) = 0 Reorder the terms: 15 + 10 + 3y + -15y = 0 Combine like terms: 15 + 10 = 25 25 + 3y + -15y = 0 Combine like terms: 3y + -15y = -12y 25 + -12y = 0 Solving 25 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -12y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -12y = 0 + -25 -12y = 0 + -25 Combine like terms: 0 + -25 = -25 -12y = -25 Divide each side by '-12'. y = 2.083333333 Simplifying y = 2.083333333
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