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Simplifying 3y + -2(y + 19) = 9y + -27 + -3y Reorder the terms: 3y + -2(19 + y) = 9y + -27 + -3y 3y + (19 * -2 + y * -2) = 9y + -27 + -3y 3y + (-38 + -2y) = 9y + -27 + -3y Reorder the terms: -38 + 3y + -2y = 9y + -27 + -3y Combine like terms: 3y + -2y = 1y -38 + 1y = 9y + -27 + -3y Reorder the terms: -38 + 1y = -27 + 9y + -3y Combine like terms: 9y + -3y = 6y -38 + 1y = -27 + 6y Solving -38 + 1y = -27 + 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. -38 + 1y + -6y = -27 + 6y + -6y Combine like terms: 1y + -6y = -5y -38 + -5y = -27 + 6y + -6y Combine like terms: 6y + -6y = 0 -38 + -5y = -27 + 0 -38 + -5y = -27 Add '38' to each side of the equation. -38 + 38 + -5y = -27 + 38 Combine like terms: -38 + 38 = 0 0 + -5y = -27 + 38 -5y = -27 + 38 Combine like terms: -27 + 38 = 11 -5y = 11 Divide each side by '-5'. y = -2.2 Simplifying y = -2.2
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