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Simplifying -6y + -38 = 5(y + -1) Reorder the terms: -38 + -6y = 5(y + -1) Reorder the terms: -38 + -6y = 5(-1 + y) -38 + -6y = (-1 * 5 + y * 5) -38 + -6y = (-5 + 5y) Solving -38 + -6y = -5 + 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 + -6y + -5y = -5 + 5y + -5y Combine like terms: -6y + -5y = -11y -38 + -11y = -5 + 5y + -5y Combine like terms: 5y + -5y = 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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