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Simplifying -4(4y + -9) + 2(3y + 8) = 0 Reorder the terms: -4(-9 + 4y) + 2(3y + 8) = 0 (-9 * -4 + 4y * -4) + 2(3y + 8) = 0 (36 + -16y) + 2(3y + 8) = 0 Reorder the terms: 36 + -16y + 2(8 + 3y) = 0 36 + -16y + (8 * 2 + 3y * 2) = 0 36 + -16y + (16 + 6y) = 0 Reorder the terms: 36 + 16 + -16y + 6y = 0 Combine like terms: 36 + 16 = 52 52 + -16y + 6y = 0 Combine like terms: -16y + 6y = -10y 52 + -10y = 0 Solving 52 + -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -10y = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -10y = 0 + -52 -10y = 0 + -52 Combine like terms: 0 + -52 = -52 -10y = -52 Divide each side by '-10'. y = 5.2 Simplifying y = 5.2
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