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Simplifying 21 + 2y + -4 = 4 + 10y + -24 Reorder the terms: 21 + -4 + 2y = 4 + 10y + -24 Combine like terms: 21 + -4 = 17 17 + 2y = 4 + 10y + -24 Reorder the terms: 17 + 2y = 4 + -24 + 10y Combine like terms: 4 + -24 = -20 17 + 2y = -20 + 10y Solving 17 + 2y = -20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 17 + 2y + -10y = -20 + 10y + -10y Combine like terms: 2y + -10y = -8y 17 + -8y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 17 + -8y = -20 + 0 17 + -8y = -20 Add '-17' to each side of the equation. 17 + -17 + -8y = -20 + -17 Combine like terms: 17 + -17 = 0 0 + -8y = -20 + -17 -8y = -20 + -17 Combine like terms: -20 + -17 = -37 -8y = -37 Divide each side by '-8'. y = 4.625 Simplifying y = 4.625
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