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Simplifying -3(y + 6) + -3(-1y + 6) = 7(-1y + 9) Reorder the terms: -3(6 + y) + -3(-1y + 6) = 7(-1y + 9) (6 * -3 + y * -3) + -3(-1y + 6) = 7(-1y + 9) (-18 + -3y) + -3(-1y + 6) = 7(-1y + 9) Reorder the terms: -18 + -3y + -3(6 + -1y) = 7(-1y + 9) -18 + -3y + (6 * -3 + -1y * -3) = 7(-1y + 9) -18 + -3y + (-18 + 3y) = 7(-1y + 9) Reorder the terms: -18 + -18 + -3y + 3y = 7(-1y + 9) Combine like terms: -18 + -18 = -36 -36 + -3y + 3y = 7(-1y + 9) Combine like terms: -3y + 3y = 0 -36 + 0 = 7(-1y + 9) -36 = 7(-1y + 9) Reorder the terms: -36 = 7(9 + -1y) -36 = (9 * 7 + -1y * 7) -36 = (63 + -7y) Solving -36 = 63 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -36 + 7y = 63 + -7y + 7y Combine like terms: -7y + 7y = 0 -36 + 7y = 63 + 0 -36 + 7y = 63 Add '36' to each side of the equation. -36 + 36 + 7y = 63 + 36 Combine like terms: -36 + 36 = 0 0 + 7y = 63 + 36 7y = 63 + 36 Combine like terms: 63 + 36 = 99 7y = 99 Divide each side by '7'. y = 14.14285714 Simplifying y = 14.14285714
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