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Simplifying 3(2y + -7) = 4y + -9 Reorder the terms: 3(-7 + 2y) = 4y + -9 (-7 * 3 + 2y * 3) = 4y + -9 (-21 + 6y) = 4y + -9 Reorder the terms: -21 + 6y = -9 + 4y Solving -21 + 6y = -9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -21 + 6y + -4y = -9 + 4y + -4y Combine like terms: 6y + -4y = 2y -21 + 2y = -9 + 4y + -4y Combine like terms: 4y + -4y = 0 -21 + 2y = -9 + 0 -21 + 2y = -9 Add '21' to each side of the equation. -21 + 21 + 2y = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 2y = -9 + 21 2y = -9 + 21 Combine like terms: -9 + 21 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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