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Simplifying -38 = 5(2y + -1) + y Reorder the terms: -38 = 5(-1 + 2y) + y -38 = (-1 * 5 + 2y * 5) + y -38 = (-5 + 10y) + y Combine like terms: 10y + y = 11y -38 = -5 + 11y Solving -38 = -5 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -38 + -11y = -5 + 11y + -11y Combine like terms: 11y + -11y = 0 -38 + -11y = -5 + 0 -38 + -11y = -5 Add '38' to each side of the equation. -38 + 38 + -11y = -5 + 38 Combine like terms: -38 + 38 = 0 0 + -11y = -5 + 38 -11y = -5 + 38 Combine like terms: -5 + 38 = 33 -11y = 33 Divide each side by '-11'. y = -3 Simplifying y = -3
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