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Simplifying 3(y + -9) = 10y + -6 Reorder the terms: 3(-9 + y) = 10y + -6 (-9 * 3 + y * 3) = 10y + -6 (-27 + 3y) = 10y + -6 Reorder the terms: -27 + 3y = -6 + 10y Solving -27 + 3y = -6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -27 + 3y + -10y = -6 + 10y + -10y Combine like terms: 3y + -10y = -7y -27 + -7y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 -27 + -7y = -6 + 0 -27 + -7y = -6 Add '27' to each side of the equation. -27 + 27 + -7y = -6 + 27 Combine like terms: -27 + 27 = 0 0 + -7y = -6 + 27 -7y = -6 + 27 Combine like terms: -6 + 27 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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