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Simplifying 8(5y + -5) + -1(4y + 2) = 0 Reorder the terms: 8(-5 + 5y) + -1(4y + 2) = 0 (-5 * 8 + 5y * 8) + -1(4y + 2) = 0 (-40 + 40y) + -1(4y + 2) = 0 Reorder the terms: -40 + 40y + -1(2 + 4y) = 0 -40 + 40y + (2 * -1 + 4y * -1) = 0 -40 + 40y + (-2 + -4y) = 0 Reorder the terms: -40 + -2 + 40y + -4y = 0 Combine like terms: -40 + -2 = -42 -42 + 40y + -4y = 0 Combine like terms: 40y + -4y = 36y -42 + 36y = 0 Solving -42 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 36y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 36y = 0 + 42 36y = 0 + 42 Combine like terms: 0 + 42 = 42 36y = 42 Divide each side by '36'. y = 1.166666667 Simplifying y = 1.166666667
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