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Simplifying 10 + -3y = 52 + 5y Solving 10 + -3y = 52 + 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 = 52 + 5y + -5y Combine like terms: -3y + -5y = -8y 10 + -8y = 52 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + -8y = 52 + 0 10 + -8y = 52 Add '-10' to each side of the equation. 10 + -10 + -8y = 52 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = 52 + -10 -8y = 52 + -10 Combine like terms: 52 + -10 = 42 -8y = 42 Divide each side by '-8'. y = -5.25 Simplifying y = -5.25
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