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Simplifying 7y + 4(y + -6) = 5(y + 1) + -4 Reorder the terms: 7y + 4(-6 + y) = 5(y + 1) + -4 7y + (-6 * 4 + y * 4) = 5(y + 1) + -4 7y + (-24 + 4y) = 5(y + 1) + -4 Reorder the terms: -24 + 7y + 4y = 5(y + 1) + -4 Combine like terms: 7y + 4y = 11y -24 + 11y = 5(y + 1) + -4 Reorder the terms: -24 + 11y = 5(1 + y) + -4 -24 + 11y = (1 * 5 + y * 5) + -4 -24 + 11y = (5 + 5y) + -4 Reorder the terms: -24 + 11y = 5 + -4 + 5y Combine like terms: 5 + -4 = 1 -24 + 11y = 1 + 5y Solving -24 + 11y = 1 + 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. -24 + 11y + -5y = 1 + 5y + -5y Combine like terms: 11y + -5y = 6y -24 + 6y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + 6y = 1 + 0 -24 + 6y = 1 Add '24' to each side of the equation. -24 + 24 + 6y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = 1 + 24 6y = 1 + 24 Combine like terms: 1 + 24 = 25 6y = 25 Divide each side by '6'. y = 4.166666667 Simplifying y = 4.166666667
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