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Simplifying 8 + -5(y + -6) = 6 + 3y Reorder the terms: 8 + -5(-6 + y) = 6 + 3y 8 + (-6 * -5 + y * -5) = 6 + 3y 8 + (30 + -5y) = 6 + 3y Combine like terms: 8 + 30 = 38 38 + -5y = 6 + 3y Solving 38 + -5y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 38 + -5y + -3y = 6 + 3y + -3y Combine like terms: -5y + -3y = -8y 38 + -8y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 38 + -8y = 6 + 0 38 + -8y = 6 Add '-38' to each side of the equation. 38 + -38 + -8y = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -8y = 6 + -38 -8y = 6 + -38 Combine like terms: 6 + -38 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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