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Simplifying -8y + 38 = -2y + -16 Reorder the terms: 38 + -8y = -2y + -16 Reorder the terms: 38 + -8y = -16 + -2y Solving 38 + -8y = -16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 38 + -8y + 2y = -16 + -2y + 2y Combine like terms: -8y + 2y = -6y 38 + -6y = -16 + -2y + 2y Combine like terms: -2y + 2y = 0 38 + -6y = -16 + 0 38 + -6y = -16 Add '-38' to each side of the equation. 38 + -38 + -6y = -16 + -38 Combine like terms: 38 + -38 = 0 0 + -6y = -16 + -38 -6y = -16 + -38 Combine like terms: -16 + -38 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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