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Simplifying -4(y + 2) = -9y + -38 Reorder the terms: -4(2 + y) = -9y + -38 (2 * -4 + y * -4) = -9y + -38 (-8 + -4y) = -9y + -38 Reorder the terms: -8 + -4y = -38 + -9y Solving -8 + -4y = -38 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -8 + -4y + 9y = -38 + -9y + 9y Combine like terms: -4y + 9y = 5y -8 + 5y = -38 + -9y + 9y Combine like terms: -9y + 9y = 0 -8 + 5y = -38 + 0 -8 + 5y = -38 Add '8' to each side of the equation. -8 + 8 + 5y = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = -38 + 8 5y = -38 + 8 Combine like terms: -38 + 8 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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