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Simplifying -4(4y + -6) + 3(2y + 9) = 0 Reorder the terms: -4(-6 + 4y) + 3(2y + 9) = 0 (-6 * -4 + 4y * -4) + 3(2y + 9) = 0 (24 + -16y) + 3(2y + 9) = 0 Reorder the terms: 24 + -16y + 3(9 + 2y) = 0 24 + -16y + (9 * 3 + 2y * 3) = 0 24 + -16y + (27 + 6y) = 0 Reorder the terms: 24 + 27 + -16y + 6y = 0 Combine like terms: 24 + 27 = 51 51 + -16y + 6y = 0 Combine like terms: -16y + 6y = -10y 51 + -10y = 0 Solving 51 + -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -10y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -10y = 0 + -51 -10y = 0 + -51 Combine like terms: 0 + -51 = -51 -10y = -51 Divide each side by '-10'. y = 5.1 Simplifying y = 5.1
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