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Simplifying 4(y + -6) = 11 + -1y Reorder the terms: 4(-6 + y) = 11 + -1y (-6 * 4 + y * 4) = 11 + -1y (-24 + 4y) = 11 + -1y Solving -24 + 4y = 11 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -24 + 4y + y = 11 + -1y + y Combine like terms: 4y + y = 5y -24 + 5y = 11 + -1y + y Combine like terms: -1y + y = 0 -24 + 5y = 11 + 0 -24 + 5y = 11 Add '24' to each side of the equation. -24 + 24 + 5y = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = 11 + 24 5y = 11 + 24 Combine like terms: 11 + 24 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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