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Simplifying 6 + -9(y + 3) = 9 + -2y Reorder the terms: 6 + -9(3 + y) = 9 + -2y 6 + (3 * -9 + y * -9) = 9 + -2y 6 + (-27 + -9y) = 9 + -2y Combine like terms: 6 + -27 = -21 -21 + -9y = 9 + -2y Solving -21 + -9y = 9 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -21 + -9y + 2y = 9 + -2y + 2y Combine like terms: -9y + 2y = -7y -21 + -7y = 9 + -2y + 2y Combine like terms: -2y + 2y = 0 -21 + -7y = 9 + 0 -21 + -7y = 9 Add '21' to each side of the equation. -21 + 21 + -7y = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -7y = 9 + 21 -7y = 9 + 21 Combine like terms: 9 + 21 = 30 -7y = 30 Divide each side by '-7'. y = -4.285714286 Simplifying y = -4.285714286
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