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Simplifying -3y + 38 = 8(y + 2) Reorder the terms: 38 + -3y = 8(y + 2) Reorder the terms: 38 + -3y = 8(2 + y) 38 + -3y = (2 * 8 + y * 8) 38 + -3y = (16 + 8y) Solving 38 + -3y = 16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 38 + -3y + -8y = 16 + 8y + -8y Combine like terms: -3y + -8y = -11y 38 + -11y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 38 + -11y = 16 + 0 38 + -11y = 16 Add '-38' to each side of the equation. 38 + -38 + -11y = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -11y = 16 + -38 -11y = 16 + -38 Combine like terms: 16 + -38 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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