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Simplifying 7(4y + 15) + -6(8y + 4) = 1 Reorder the terms: 7(15 + 4y) + -6(8y + 4) = 1 (15 * 7 + 4y * 7) + -6(8y + 4) = 1 (105 + 28y) + -6(8y + 4) = 1 Reorder the terms: 105 + 28y + -6(4 + 8y) = 1 105 + 28y + (4 * -6 + 8y * -6) = 1 105 + 28y + (-24 + -48y) = 1 Reorder the terms: 105 + -24 + 28y + -48y = 1 Combine like terms: 105 + -24 = 81 81 + 28y + -48y = 1 Combine like terms: 28y + -48y = -20y 81 + -20y = 1 Solving 81 + -20y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -20y = 1 + -81 Combine like terms: 81 + -81 = 0 0 + -20y = 1 + -81 -20y = 1 + -81 Combine like terms: 1 + -81 = -80 -20y = -80 Divide each side by '-20'. y = 4 Simplifying y = 4
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