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Simplifying -3y + 10 = 5y + 14 Reorder the terms: 10 + -3y = 5y + 14 Reorder the terms: 10 + -3y = 14 + 5y Solving 10 + -3y = 14 + 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. 10 + -3y + -5y = 14 + 5y + -5y Combine like terms: -3y + -5y = -8y 10 + -8y = 14 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + -8y = 14 + 0 10 + -8y = 14 Add '-10' to each side of the equation. 10 + -10 + -8y = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = 14 + -10 -8y = 14 + -10 Combine like terms: 14 + -10 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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