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Simplifying -4(4y + -6) + 2(2y + 7) = 0 Reorder the terms: -4(-6 + 4y) + 2(2y + 7) = 0 (-6 * -4 + 4y * -4) + 2(2y + 7) = 0 (24 + -16y) + 2(2y + 7) = 0 Reorder the terms: 24 + -16y + 2(7 + 2y) = 0 24 + -16y + (7 * 2 + 2y * 2) = 0 24 + -16y + (14 + 4y) = 0 Reorder the terms: 24 + 14 + -16y + 4y = 0 Combine like terms: 24 + 14 = 38 38 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 38 + -12y = 0 Solving 38 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -12y = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -12y = 0 + -38 -12y = 0 + -38 Combine like terms: 0 + -38 = -38 -12y = -38 Divide each side by '-12'. y = 3.166666667 Simplifying y = 3.166666667
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