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Simplifying 5y + 13 + -2y = 10 + 2y + 4 Reorder the terms: 13 + 5y + -2y = 10 + 2y + 4 Combine like terms: 5y + -2y = 3y 13 + 3y = 10 + 2y + 4 Reorder the terms: 13 + 3y = 10 + 4 + 2y Combine like terms: 10 + 4 = 14 13 + 3y = 14 + 2y Solving 13 + 3y = 14 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 13 + 3y + -2y = 14 + 2y + -2y Combine like terms: 3y + -2y = 1y 13 + 1y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 13 + 1y = 14 + 0 13 + 1y = 14 Add '-13' to each side of the equation. 13 + -13 + 1y = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 14 + -13 1y = 14 + -13 Combine like terms: 14 + -13 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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