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Simplifying -4(4y + -6) + 2(2y + 9) = 0 Reorder the terms: -4(-6 + 4y) + 2(2y + 9) = 0 (-6 * -4 + 4y * -4) + 2(2y + 9) = 0 (24 + -16y) + 2(2y + 9) = 0 Reorder the terms: 24 + -16y + 2(9 + 2y) = 0 24 + -16y + (9 * 2 + 2y * 2) = 0 24 + -16y + (18 + 4y) = 0 Reorder the terms: 24 + 18 + -16y + 4y = 0 Combine like terms: 24 + 18 = 42 42 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 42 + -12y = 0 Solving 42 + -12y = 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 + -12y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12y = 0 + -42 -12y = 0 + -42 Combine like terms: 0 + -42 = -42 -12y = -42 Divide each side by '-12'. y = 3.5 Simplifying y = 3.5
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