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Simplifying 6(3y + -7) + -1(7y + 3) = 0 Reorder the terms: 6(-7 + 3y) + -1(7y + 3) = 0 (-7 * 6 + 3y * 6) + -1(7y + 3) = 0 (-42 + 18y) + -1(7y + 3) = 0 Reorder the terms: -42 + 18y + -1(3 + 7y) = 0 -42 + 18y + (3 * -1 + 7y * -1) = 0 -42 + 18y + (-3 + -7y) = 0 Reorder the terms: -42 + -3 + 18y + -7y = 0 Combine like terms: -42 + -3 = -45 -45 + 18y + -7y = 0 Combine like terms: 18y + -7y = 11y -45 + 11y = 0 Solving -45 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 11y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 11y = 0 + 45 11y = 0 + 45 Combine like terms: 0 + 45 = 45 11y = 45 Divide each side by '11'. y = 4.090909091 Simplifying y = 4.090909091
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