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Simplifying 3y + 10 = 5y + -2 Reorder the terms: 10 + 3y = 5y + -2 Reorder the terms: 10 + 3y = -2 + 5y Solving 10 + 3y = -2 + 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 = -2 + 5y + -5y Combine like terms: 3y + -5y = -2y 10 + -2y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + -2y = -2 + 0 10 + -2y = -2 Add '-10' to each side of the equation. 10 + -10 + -2y = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = -2 + -10 -2y = -2 + -10 Combine like terms: -2 + -10 = -12 -2y = -12 Divide each side by '-2'. y = 6 Simplifying y = 6
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