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Simplifying 10 = 5(y + -6) + 3y Reorder the terms: 10 = 5(-6 + y) + 3y 10 = (-6 * 5 + y * 5) + 3y 10 = (-30 + 5y) + 3y Combine like terms: 5y + 3y = 8y 10 = -30 + 8y Solving 10 = -30 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 10 + -8y = -30 + 8y + -8y Combine like terms: 8y + -8y = 0 10 + -8y = -30 + 0 10 + -8y = -30 Add '-10' to each side of the equation. 10 + -10 + -8y = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = -30 + -10 -8y = -30 + -10 Combine like terms: -30 + -10 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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