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Simplifying 6(2y + -7) + -1(3 + -5y) = 0 Reorder the terms: 6(-7 + 2y) + -1(3 + -5y) = 0 (-7 * 6 + 2y * 6) + -1(3 + -5y) = 0 (-42 + 12y) + -1(3 + -5y) = 0 -42 + 12y + (3 * -1 + -5y * -1) = 0 -42 + 12y + (-3 + 5y) = 0 Reorder the terms: -42 + -3 + 12y + 5y = 0 Combine like terms: -42 + -3 = -45 -45 + 12y + 5y = 0 Combine like terms: 12y + 5y = 17y -45 + 17y = 0 Solving -45 + 17y = 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 + 17y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 17y = 0 + 45 17y = 0 + 45 Combine like terms: 0 + 45 = 45 17y = 45 Divide each side by '17'. y = 2.647058824 Simplifying y = 2.647058824
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