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Simplifying 3(5y + -5) + -1(4y + 8) = 0 Reorder the terms: 3(-5 + 5y) + -1(4y + 8) = 0 (-5 * 3 + 5y * 3) + -1(4y + 8) = 0 (-15 + 15y) + -1(4y + 8) = 0 Reorder the terms: -15 + 15y + -1(8 + 4y) = 0 -15 + 15y + (8 * -1 + 4y * -1) = 0 -15 + 15y + (-8 + -4y) = 0 Reorder the terms: -15 + -8 + 15y + -4y = 0 Combine like terms: -15 + -8 = -23 -23 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y -23 + 11y = 0 Solving -23 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 11y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 11y = 0 + 23 11y = 0 + 23 Combine like terms: 0 + 23 = 23 11y = 23 Divide each side by '11'. y = 2.090909091 Simplifying y = 2.090909091
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