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Simplifying 4(5y + -8) + -1(4y + 2) = 0 Reorder the terms: 4(-8 + 5y) + -1(4y + 2) = 0 (-8 * 4 + 5y * 4) + -1(4y + 2) = 0 (-32 + 20y) + -1(4y + 2) = 0 Reorder the terms: -32 + 20y + -1(2 + 4y) = 0 -32 + 20y + (2 * -1 + 4y * -1) = 0 -32 + 20y + (-2 + -4y) = 0 Reorder the terms: -32 + -2 + 20y + -4y = 0 Combine like terms: -32 + -2 = -34 -34 + 20y + -4y = 0 Combine like terms: 20y + -4y = 16y -34 + 16y = 0 Solving -34 + 16y = 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 + 16y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 16y = 0 + 34 16y = 0 + 34 Combine like terms: 0 + 34 = 34 16y = 34 Divide each side by '16'. y = 2.125 Simplifying y = 2.125
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