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Simplifying 7(2y + -9) + -1(y + 3) = 0 Reorder the terms: 7(-9 + 2y) + -1(y + 3) = 0 (-9 * 7 + 2y * 7) + -1(y + 3) = 0 (-63 + 14y) + -1(y + 3) = 0 Reorder the terms: -63 + 14y + -1(3 + y) = 0 -63 + 14y + (3 * -1 + y * -1) = 0 -63 + 14y + (-3 + -1y) = 0 Reorder the terms: -63 + -3 + 14y + -1y = 0 Combine like terms: -63 + -3 = -66 -66 + 14y + -1y = 0 Combine like terms: 14y + -1y = 13y -66 + 13y = 0 Solving -66 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 13y = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 13y = 0 + 66 13y = 0 + 66 Combine like terms: 0 + 66 = 66 13y = 66 Divide each side by '13'. y = 5.076923077 Simplifying y = 5.076923077
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