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Simplifying 2(5y + -4) + -1(8y + 5) = 0 Reorder the terms: 2(-4 + 5y) + -1(8y + 5) = 0 (-4 * 2 + 5y * 2) + -1(8y + 5) = 0 (-8 + 10y) + -1(8y + 5) = 0 Reorder the terms: -8 + 10y + -1(5 + 8y) = 0 -8 + 10y + (5 * -1 + 8y * -1) = 0 -8 + 10y + (-5 + -8y) = 0 Reorder the terms: -8 + -5 + 10y + -8y = 0 Combine like terms: -8 + -5 = -13 -13 + 10y + -8y = 0 Combine like terms: 10y + -8y = 2y -13 + 2y = 0 Solving -13 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 0 + 13 2y = 0 + 13 Combine like terms: 0 + 13 = 13 2y = 13 Divide each side by '2'. y = 6.5 Simplifying y = 6.5
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