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Simplifying 5(4y + -5) + -1(2y + 8) = 0 Reorder the terms: 5(-5 + 4y) + -1(2y + 8) = 0 (-5 * 5 + 4y * 5) + -1(2y + 8) = 0 (-25 + 20y) + -1(2y + 8) = 0 Reorder the terms: -25 + 20y + -1(8 + 2y) = 0 -25 + 20y + (8 * -1 + 2y * -1) = 0 -25 + 20y + (-8 + -2y) = 0 Reorder the terms: -25 + -8 + 20y + -2y = 0 Combine like terms: -25 + -8 = -33 -33 + 20y + -2y = 0 Combine like terms: 20y + -2y = 18y -33 + 18y = 0 Solving -33 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 18y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 18y = 0 + 33 18y = 0 + 33 Combine like terms: 0 + 33 = 33 18y = 33 Divide each side by '18'. y = 1.833333333 Simplifying y = 1.833333333
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