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Simplifying 3(y + 4) + -2(8y + -1) = 13 Reorder the terms: 3(4 + y) + -2(8y + -1) = 13 (4 * 3 + y * 3) + -2(8y + -1) = 13 (12 + 3y) + -2(8y + -1) = 13 Reorder the terms: 12 + 3y + -2(-1 + 8y) = 13 12 + 3y + (-1 * -2 + 8y * -2) = 13 12 + 3y + (2 + -16y) = 13 Reorder the terms: 12 + 2 + 3y + -16y = 13 Combine like terms: 12 + 2 = 14 14 + 3y + -16y = 13 Combine like terms: 3y + -16y = -13y 14 + -13y = 13 Solving 14 + -13y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -13y = 13 + -14 Combine like terms: 14 + -14 = 0 0 + -13y = 13 + -14 -13y = 13 + -14 Combine like terms: 13 + -14 = -1 -13y = -1 Divide each side by '-13'. y = 0.07692307692 Simplifying y = 0.07692307692
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