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Simplifying -38 = 3(y + -6) + 2y Reorder the terms: -38 = 3(-6 + y) + 2y -38 = (-6 * 3 + y * 3) + 2y -38 = (-18 + 3y) + 2y Combine like terms: 3y + 2y = 5y -38 = -18 + 5y Solving -38 = -18 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -38 + -5y = -18 + 5y + -5y Combine like terms: 5y + -5y = 0 -38 + -5y = -18 + 0 -38 + -5y = -18 Add '38' to each side of the equation. -38 + 38 + -5y = -18 + 38 Combine like terms: -38 + 38 = 0 0 + -5y = -18 + 38 -5y = -18 + 38 Combine like terms: -18 + 38 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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