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Simplifying 5y + 4(y + -6) = 4(y + 1) + -2 Reorder the terms: 5y + 4(-6 + y) = 4(y + 1) + -2 5y + (-6 * 4 + y * 4) = 4(y + 1) + -2 5y + (-24 + 4y) = 4(y + 1) + -2 Reorder the terms: -24 + 5y + 4y = 4(y + 1) + -2 Combine like terms: 5y + 4y = 9y -24 + 9y = 4(y + 1) + -2 Reorder the terms: -24 + 9y = 4(1 + y) + -2 -24 + 9y = (1 * 4 + y * 4) + -2 -24 + 9y = (4 + 4y) + -2 Reorder the terms: -24 + 9y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -24 + 9y = 2 + 4y Solving -24 + 9y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -24 + 9y + -4y = 2 + 4y + -4y Combine like terms: 9y + -4y = 5y -24 + 5y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 5y = 2 + 0 -24 + 5y = 2 Add '24' to each side of the equation. -24 + 24 + 5y = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = 2 + 24 5y = 2 + 24 Combine like terms: 2 + 24 = 26 5y = 26 Divide each side by '5'. y = 5.2 Simplifying y = 5.2
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