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Simplifying -5y + 6 = 2(4y + 9) Reorder the terms: 6 + -5y = 2(4y + 9) Reorder the terms: 6 + -5y = 2(9 + 4y) 6 + -5y = (9 * 2 + 4y * 2) 6 + -5y = (18 + 8y) Solving 6 + -5y = 18 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 6 + -5y + -8y = 18 + 8y + -8y Combine like terms: -5y + -8y = -13y 6 + -13y = 18 + 8y + -8y Combine like terms: 8y + -8y = 0 6 + -13y = 18 + 0 6 + -13y = 18 Add '-6' to each side of the equation. 6 + -6 + -13y = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -13y = 18 + -6 -13y = 18 + -6 Combine like terms: 18 + -6 = 12 -13y = 12 Divide each side by '-13'. y = -0.9230769231 Simplifying y = -0.9230769231
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