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Simplifying -38 + -16y + 14 = -31y + 6 + 5y Reorder the terms: -38 + 14 + -16y = -31y + 6 + 5y Combine like terms: -38 + 14 = -24 -24 + -16y = -31y + 6 + 5y Reorder the terms: -24 + -16y = 6 + -31y + 5y Combine like terms: -31y + 5y = -26y -24 + -16y = 6 + -26y Solving -24 + -16y = 6 + -26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26y' to each side of the equation. -24 + -16y + 26y = 6 + -26y + 26y Combine like terms: -16y + 26y = 10y -24 + 10y = 6 + -26y + 26y Combine like terms: -26y + 26y = 0 -24 + 10y = 6 + 0 -24 + 10y = 6 Add '24' to each side of the equation. -24 + 24 + 10y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 10y = 6 + 24 10y = 6 + 24 Combine like terms: 6 + 24 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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