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Simplifying -4(4y + -8) + 2(2y + 5) = 0 Reorder the terms: -4(-8 + 4y) + 2(2y + 5) = 0 (-8 * -4 + 4y * -4) + 2(2y + 5) = 0 (32 + -16y) + 2(2y + 5) = 0 Reorder the terms: 32 + -16y + 2(5 + 2y) = 0 32 + -16y + (5 * 2 + 2y * 2) = 0 32 + -16y + (10 + 4y) = 0 Reorder the terms: 32 + 10 + -16y + 4y = 0 Combine like terms: 32 + 10 = 42 42 + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 42 + -12y = 0 Solving 42 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -12y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12y = 0 + -42 -12y = 0 + -42 Combine like terms: 0 + -42 = -42 -12y = -42 Divide each side by '-12'. y = 3.5 Simplifying y = 3.5
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