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Simplifying -4(4y + -6) + 3(2y + 5) = 0 Reorder the terms: -4(-6 + 4y) + 3(2y + 5) = 0 (-6 * -4 + 4y * -4) + 3(2y + 5) = 0 (24 + -16y) + 3(2y + 5) = 0 Reorder the terms: 24 + -16y + 3(5 + 2y) = 0 24 + -16y + (5 * 3 + 2y * 3) = 0 24 + -16y + (15 + 6y) = 0 Reorder the terms: 24 + 15 + -16y + 6y = 0 Combine like terms: 24 + 15 = 39 39 + -16y + 6y = 0 Combine like terms: -16y + 6y = -10y 39 + -10y = 0 Solving 39 + -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -10y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -10y = 0 + -39 -10y = 0 + -39 Combine like terms: 0 + -39 = -39 -10y = -39 Divide each side by '-10'. y = 3.9 Simplifying y = 3.9
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