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Simplifying -4(5y + -6) + 3(4y + 6) = 0 Reorder the terms: -4(-6 + 5y) + 3(4y + 6) = 0 (-6 * -4 + 5y * -4) + 3(4y + 6) = 0 (24 + -20y) + 3(4y + 6) = 0 Reorder the terms: 24 + -20y + 3(6 + 4y) = 0 24 + -20y + (6 * 3 + 4y * 3) = 0 24 + -20y + (18 + 12y) = 0 Reorder the terms: 24 + 18 + -20y + 12y = 0 Combine like terms: 24 + 18 = 42 42 + -20y + 12y = 0 Combine like terms: -20y + 12y = -8y 42 + -8y = 0 Solving 42 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -8y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -8y = 0 + -42 -8y = 0 + -42 Combine like terms: 0 + -42 = -42 -8y = -42 Divide each side by '-8'. y = 5.25 Simplifying y = 5.25
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