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Simplifying 3(2y + -3) = 4y + 7 Reorder the terms: 3(-3 + 2y) = 4y + 7 (-3 * 3 + 2y * 3) = 4y + 7 (-9 + 6y) = 4y + 7 Reorder the terms: -9 + 6y = 7 + 4y Solving -9 + 6y = 7 + 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. -9 + 6y + -4y = 7 + 4y + -4y Combine like terms: 6y + -4y = 2y -9 + 2y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + 2y = 7 + 0 -9 + 2y = 7 Add '9' to each side of the equation. -9 + 9 + 2y = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2y = 7 + 9 2y = 7 + 9 Combine like terms: 7 + 9 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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