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Simplifying -4y + -13 = 5y + 24 Reorder the terms: -13 + -4y = 5y + 24 Reorder the terms: -13 + -4y = 24 + 5y Solving -13 + -4y = 24 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -13 + -4y + -5y = 24 + 5y + -5y Combine like terms: -4y + -5y = -9y -13 + -9y = 24 + 5y + -5y Combine like terms: 5y + -5y = 0 -13 + -9y = 24 + 0 -13 + -9y = 24 Add '13' to each side of the equation. -13 + 13 + -9y = 24 + 13 Combine like terms: -13 + 13 = 0 0 + -9y = 24 + 13 -9y = 24 + 13 Combine like terms: 24 + 13 = 37 -9y = 37 Divide each side by '-9'. y = -4.111111111 Simplifying y = -4.111111111
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