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Simplifying 5(8y + -5) + -1(2(4y + -3) + 3) = 0 Reorder the terms: 5(-5 + 8y) + -1(2(4y + -3) + 3) = 0 (-5 * 5 + 8y * 5) + -1(2(4y + -3) + 3) = 0 (-25 + 40y) + -1(2(4y + -3) + 3) = 0 Reorder the terms: -25 + 40y + -1(2(-3 + 4y) + 3) = 0 -25 + 40y + -1((-3 * 2 + 4y * 2) + 3) = 0 -25 + 40y + -1((-6 + 8y) + 3) = 0 Reorder the terms: -25 + 40y + -1(-6 + 3 + 8y) = 0 Combine like terms: -6 + 3 = -3 -25 + 40y + -1(-3 + 8y) = 0 -25 + 40y + (-3 * -1 + 8y * -1) = 0 -25 + 40y + (3 + -8y) = 0 Reorder the terms: -25 + 3 + 40y + -8y = 0 Combine like terms: -25 + 3 = -22 -22 + 40y + -8y = 0 Combine like terms: 40y + -8y = 32y -22 + 32y = 0 Solving -22 + 32y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 32y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 32y = 0 + 22 32y = 0 + 22 Combine like terms: 0 + 22 = 22 32y = 22 Divide each side by '32'. y = 0.6875 Simplifying y = 0.6875
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