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Simplifying -2(y + 3) + 3(3y + -7) = 6(y + -3) + 13 Reorder the terms: -2(3 + y) + 3(3y + -7) = 6(y + -3) + 13 (3 * -2 + y * -2) + 3(3y + -7) = 6(y + -3) + 13 (-6 + -2y) + 3(3y + -7) = 6(y + -3) + 13 Reorder the terms: -6 + -2y + 3(-7 + 3y) = 6(y + -3) + 13 -6 + -2y + (-7 * 3 + 3y * 3) = 6(y + -3) + 13 -6 + -2y + (-21 + 9y) = 6(y + -3) + 13 Reorder the terms: -6 + -21 + -2y + 9y = 6(y + -3) + 13 Combine like terms: -6 + -21 = -27 -27 + -2y + 9y = 6(y + -3) + 13 Combine like terms: -2y + 9y = 7y -27 + 7y = 6(y + -3) + 13 Reorder the terms: -27 + 7y = 6(-3 + y) + 13 -27 + 7y = (-3 * 6 + y * 6) + 13 -27 + 7y = (-18 + 6y) + 13 Reorder the terms: -27 + 7y = -18 + 13 + 6y Combine like terms: -18 + 13 = -5 -27 + 7y = -5 + 6y Solving -27 + 7y = -5 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -27 + 7y + -6y = -5 + 6y + -6y Combine like terms: 7y + -6y = 1y -27 + 1y = -5 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + 1y = -5 + 0 -27 + 1y = -5 Add '27' to each side of the equation. -27 + 27 + 1y = -5 + 27 Combine like terms: -27 + 27 = 0 0 + 1y = -5 + 27 1y = -5 + 27 Combine like terms: -5 + 27 = 22 1y = 22 Divide each side by '1'. y = 22 Simplifying y = 22
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