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Simplifying -4(4y + -6) + 2(2y + 8) = 0 Reorder the terms: -4(-6 + 4y) + 2(2y + 8) = 0 (-6 * -4 + 4y * -4) + 2(2y + 8) = 0 (24 + -16y) + 2(2y + 8) = 0 Reorder the terms: 24 + -16y + 2(8 + 2y) = 0 24 + -16y + (8 * 2 + 2y * 2) = 0 24 + -16y + (16 + 4y) = 0 Reorder the terms: 24 + 16 + -16y + 4y = 0 Combine like terms: 24 + 16 = 40 40 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 40 + -12y = 0 Solving 40 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -12y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -12y = 0 + -40 -12y = 0 + -40 Combine like terms: 0 + -40 = -40 -12y = -40 Divide each side by '-12'. y = 3.333333333 Simplifying y = 3.333333333
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