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Simplifying -5(4y + -6) + 4(2y + 6) = 0 Reorder the terms: -5(-6 + 4y) + 4(2y + 6) = 0 (-6 * -5 + 4y * -5) + 4(2y + 6) = 0 (30 + -20y) + 4(2y + 6) = 0 Reorder the terms: 30 + -20y + 4(6 + 2y) = 0 30 + -20y + (6 * 4 + 2y * 4) = 0 30 + -20y + (24 + 8y) = 0 Reorder the terms: 30 + 24 + -20y + 8y = 0 Combine like terms: 30 + 24 = 54 54 + -20y + 8y = 0 Combine like terms: -20y + 8y = -12y 54 + -12y = 0 Solving 54 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -12y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -12y = 0 + -54 -12y = 0 + -54 Combine like terms: 0 + -54 = -54 -12y = -54 Divide each side by '-12'. y = 4.5 Simplifying y = 4.5
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