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Simplifying 5y + 4(y + -6) = 4(y + 2) + -3 Reorder the terms: 5y + 4(-6 + y) = 4(y + 2) + -3 5y + (-6 * 4 + y * 4) = 4(y + 2) + -3 5y + (-24 + 4y) = 4(y + 2) + -3 Reorder the terms: -24 + 5y + 4y = 4(y + 2) + -3 Combine like terms: 5y + 4y = 9y -24 + 9y = 4(y + 2) + -3 Reorder the terms: -24 + 9y = 4(2 + y) + -3 -24 + 9y = (2 * 4 + y * 4) + -3 -24 + 9y = (8 + 4y) + -3 Reorder the terms: -24 + 9y = 8 + -3 + 4y Combine like terms: 8 + -3 = 5 -24 + 9y = 5 + 4y Solving -24 + 9y = 5 + 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 = 5 + 4y + -4y Combine like terms: 9y + -4y = 5y -24 + 5y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 5y = 5 + 0 -24 + 5y = 5 Add '24' to each side of the equation. -24 + 24 + 5y = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 5y = 5 + 24 5y = 5 + 24 Combine like terms: 5 + 24 = 29 5y = 29 Divide each side by '5'. y = 5.8 Simplifying y = 5.8
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