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Simplifying -2(y + 2) + 3(3y + -7) = 6(y + -4) + 13 Reorder the terms: -2(2 + y) + 3(3y + -7) = 6(y + -4) + 13 (2 * -2 + y * -2) + 3(3y + -7) = 6(y + -4) + 13 (-4 + -2y) + 3(3y + -7) = 6(y + -4) + 13 Reorder the terms: -4 + -2y + 3(-7 + 3y) = 6(y + -4) + 13 -4 + -2y + (-7 * 3 + 3y * 3) = 6(y + -4) + 13 -4 + -2y + (-21 + 9y) = 6(y + -4) + 13 Reorder the terms: -4 + -21 + -2y + 9y = 6(y + -4) + 13 Combine like terms: -4 + -21 = -25 -25 + -2y + 9y = 6(y + -4) + 13 Combine like terms: -2y + 9y = 7y -25 + 7y = 6(y + -4) + 13 Reorder the terms: -25 + 7y = 6(-4 + y) + 13 -25 + 7y = (-4 * 6 + y * 6) + 13 -25 + 7y = (-24 + 6y) + 13 Reorder the terms: -25 + 7y = -24 + 13 + 6y Combine like terms: -24 + 13 = -11 -25 + 7y = -11 + 6y Solving -25 + 7y = -11 + 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. -25 + 7y + -6y = -11 + 6y + -6y Combine like terms: 7y + -6y = 1y -25 + 1y = -11 + 6y + -6y Combine like terms: 6y + -6y = 0 -25 + 1y = -11 + 0 -25 + 1y = -11 Add '25' to each side of the equation. -25 + 25 + 1y = -11 + 25 Combine like terms: -25 + 25 = 0 0 + 1y = -11 + 25 1y = -11 + 25 Combine like terms: -11 + 25 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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