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Simplifying -5y + -2(y + 4) = 6y + 9 Reorder the terms: -5y + -2(4 + y) = 6y + 9 -5y + (4 * -2 + y * -2) = 6y + 9 -5y + (-8 + -2y) = 6y + 9 Reorder the terms: -8 + -5y + -2y = 6y + 9 Combine like terms: -5y + -2y = -7y -8 + -7y = 6y + 9 Reorder the terms: -8 + -7y = 9 + 6y Solving -8 + -7y = 9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -8 + -7y + -6y = 9 + 6y + -6y Combine like terms: -7y + -6y = -13y -8 + -13y = 9 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -13y = 9 + 0 -8 + -13y = 9 Add '8' to each side of the equation. -8 + 8 + -13y = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -13y = 9 + 8 -13y = 9 + 8 Combine like terms: 9 + 8 = 17 -13y = 17 Divide each side by '-13'. y = -1.307692308 Simplifying y = -1.307692308
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