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Simplifying 2(5y + -5) + -1(8y + 3) = 0 Reorder the terms: 2(-5 + 5y) + -1(8y + 3) = 0 (-5 * 2 + 5y * 2) + -1(8y + 3) = 0 (-10 + 10y) + -1(8y + 3) = 0 Reorder the terms: -10 + 10y + -1(3 + 8y) = 0 -10 + 10y + (3 * -1 + 8y * -1) = 0 -10 + 10y + (-3 + -8y) = 0 Reorder the terms: -10 + -3 + 10y + -8y = 0 Combine like terms: -10 + -3 = -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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