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Simplifying -4(4y + -7) + 2(2y + 5) = 0 Reorder the terms: -4(-7 + 4y) + 2(2y + 5) = 0 (-7 * -4 + 4y * -4) + 2(2y + 5) = 0 (28 + -16y) + 2(2y + 5) = 0 Reorder the terms: 28 + -16y + 2(5 + 2y) = 0 28 + -16y + (5 * 2 + 2y * 2) = 0 28 + -16y + (10 + 4y) = 0 Reorder the terms: 28 + 10 + -16y + 4y = 0 Combine like terms: 28 + 10 = 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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