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Simplifying -4(4y + -5) + 2(2y + 7) = 0 Reorder the terms: -4(-5 + 4y) + 2(2y + 7) = 0 (-5 * -4 + 4y * -4) + 2(2y + 7) = 0 (20 + -16y) + 2(2y + 7) = 0 Reorder the terms: 20 + -16y + 2(7 + 2y) = 0 20 + -16y + (7 * 2 + 2y * 2) = 0 20 + -16y + (14 + 4y) = 0 Reorder the terms: 20 + 14 + -16y + 4y = 0 Combine like terms: 20 + 14 = 34 34 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 34 + -12y = 0 Solving 34 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -12y = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -12y = 0 + -34 -12y = 0 + -34 Combine like terms: 0 + -34 = -34 -12y = -34 Divide each side by '-12'. y = 2.833333333 Simplifying y = 2.833333333
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