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Simplifying 5y + 4(y + -6) = 2(y + 1) + -2 Reorder the terms: 5y + 4(-6 + y) = 2(y + 1) + -2 5y + (-6 * 4 + y * 4) = 2(y + 1) + -2 5y + (-24 + 4y) = 2(y + 1) + -2 Reorder the terms: -24 + 5y + 4y = 2(y + 1) + -2 Combine like terms: 5y + 4y = 9y -24 + 9y = 2(y + 1) + -2 Reorder the terms: -24 + 9y = 2(1 + y) + -2 -24 + 9y = (1 * 2 + y * 2) + -2 -24 + 9y = (2 + 2y) + -2 Reorder the terms: -24 + 9y = 2 + -2 + 2y Combine like terms: 2 + -2 = 0 -24 + 9y = 0 + 2y -24 + 9y = 2y Solving -24 + 9y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + 9y + -2y = 2y + -2y Combine like terms: 9y + -2y = 7y -24 + 7y = 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 7y = 0 Add '24' to each side of the equation. -24 + 24 + 7y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 0 + 24 7y = 0 + 24 Combine like terms: 0 + 24 = 24 7y = 24 Divide each side by '7'. y = 3.428571429 Simplifying y = 3.428571429
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