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Simplifying 38 = -3(4y + 2) + y Reorder the terms: 38 = -3(2 + 4y) + y 38 = (2 * -3 + 4y * -3) + y 38 = (-6 + -12y) + y Combine like terms: -12y + y = -11y 38 = -6 + -11y Solving 38 = -6 + -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 = -6 + -11y + 11y Combine like terms: -11y + 11y = 0 38 + 11y = -6 + 0 38 + 11y = -6 Add '-38' to each side of the equation. 38 + -38 + 11y = -6 + -38 Combine like terms: 38 + -38 = 0 0 + 11y = -6 + -38 11y = -6 + -38 Combine like terms: -6 + -38 = -44 11y = -44 Divide each side by '11'. y = -4 Simplifying y = -4
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