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Simplifying 4y + -2 = 9y + 38 Reorder the terms: -2 + 4y = 9y + 38 Reorder the terms: -2 + 4y = 38 + 9y Solving -2 + 4y = 38 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -2 + 4y + -9y = 38 + 9y + -9y Combine like terms: 4y + -9y = -5y -2 + -5y = 38 + 9y + -9y Combine like terms: 9y + -9y = 0 -2 + -5y = 38 + 0 -2 + -5y = 38 Add '2' to each side of the equation. -2 + 2 + -5y = 38 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 38 + 2 -5y = 38 + 2 Combine like terms: 38 + 2 = 40 -5y = 40 Divide each side by '-5'. y = -8 Simplifying y = -8
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