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Simplifying 2(3y + -1) = 4y + 7 Reorder the terms: 2(-1 + 3y) = 4y + 7 (-1 * 2 + 3y * 2) = 4y + 7 (-2 + 6y) = 4y + 7 Reorder the terms: -2 + 6y = 7 + 4y Solving -2 + 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. -2 + 6y + -4y = 7 + 4y + -4y Combine like terms: 6y + -4y = 2y -2 + 2y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 2y = 7 + 0 -2 + 2y = 7 Add '2' to each side of the equation. -2 + 2 + 2y = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 7 + 2 2y = 7 + 2 Combine like terms: 7 + 2 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5
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