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Simplifying -13y + 3y + -2 = 5 + -5y + 23 Reorder the terms: -2 + -13y + 3y = 5 + -5y + 23 Combine like terms: -13y + 3y = -10y -2 + -10y = 5 + -5y + 23 Reorder the terms: -2 + -10y = 5 + 23 + -5y Combine like terms: 5 + 23 = 28 -2 + -10y = 28 + -5y Solving -2 + -10y = 28 + -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. -2 + -10y + 5y = 28 + -5y + 5y Combine like terms: -10y + 5y = -5y -2 + -5y = 28 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + -5y = 28 + 0 -2 + -5y = 28 Add '2' to each side of the equation. -2 + 2 + -5y = 28 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 28 + 2 -5y = 28 + 2 Combine like terms: 28 + 2 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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