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Simplifying -4(3y + -5) + 3(2y + 10) = 0 Reorder the terms: -4(-5 + 3y) + 3(2y + 10) = 0 (-5 * -4 + 3y * -4) + 3(2y + 10) = 0 (20 + -12y) + 3(2y + 10) = 0 Reorder the terms: 20 + -12y + 3(10 + 2y) = 0 20 + -12y + (10 * 3 + 2y * 3) = 0 20 + -12y + (30 + 6y) = 0 Reorder the terms: 20 + 30 + -12y + 6y = 0 Combine like terms: 20 + 30 = 50 50 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 50 + -6y = 0 Solving 50 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -6y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -6y = 0 + -50 -6y = 0 + -50 Combine like terms: 0 + -50 = -50 -6y = -50 Divide each side by '-6'. y = 8.333333333 Simplifying y = 8.333333333
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