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Simplifying -5y + -13 = 4y + 23 Reorder the terms: -13 + -5y = 4y + 23 Reorder the terms: -13 + -5y = 23 + 4y Solving -13 + -5y = 23 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -13 + -5y + -4y = 23 + 4y + -4y Combine like terms: -5y + -4y = -9y -13 + -9y = 23 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + -9y = 23 + 0 -13 + -9y = 23 Add '13' to each side of the equation. -13 + 13 + -9y = 23 + 13 Combine like terms: -13 + 13 = 0 0 + -9y = 23 + 13 -9y = 23 + 13 Combine like terms: 23 + 13 = 36 -9y = 36 Divide each side by '-9'. y = -4 Simplifying y = -4
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