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Simplifying 12(5 + 2) = 4y + -1(6 + -9y) Combine like terms: 5 + 2 = 7 12(7) = 4y + -1(6 + -9y) Multiply 12 * 7 84 = 4y + -1(6 + -9y) 84 = 4y + (6 * -1 + -9y * -1) 84 = 4y + (-6 + 9y) Reorder the terms: 84 = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 84 = -6 + 13y Solving 84 = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 84 + -13y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 84 + -13y = -6 + 0 84 + -13y = -6 Add '-84' to each side of the equation. 84 + -84 + -13y = -6 + -84 Combine like terms: 84 + -84 = 0 0 + -13y = -6 + -84 -13y = -6 + -84 Combine like terms: -6 + -84 = -90 -13y = -90 Divide each side by '-13'. y = 6.923076923 Simplifying y = 6.923076923
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