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Simplifying 4(7y + 2) = 3(9y + -2) Reorder the terms: 4(2 + 7y) = 3(9y + -2) (2 * 4 + 7y * 4) = 3(9y + -2) (8 + 28y) = 3(9y + -2) Reorder the terms: 8 + 28y = 3(-2 + 9y) 8 + 28y = (-2 * 3 + 9y * 3) 8 + 28y = (-6 + 27y) Solving 8 + 28y = -6 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. 8 + 28y + -27y = -6 + 27y + -27y Combine like terms: 28y + -27y = 1y 8 + 1y = -6 + 27y + -27y Combine like terms: 27y + -27y = 0 8 + 1y = -6 + 0 8 + 1y = -6 Add '-8' to each side of the equation. 8 + -8 + 1y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = -6 + -8 1y = -6 + -8 Combine like terms: -6 + -8 = -14 1y = -14 Divide each side by '1'. y = -14 Simplifying y = -14
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