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Simplifying 7y + 3(y + -6) = 5(y + 2) + -2 Reorder the terms: 7y + 3(-6 + y) = 5(y + 2) + -2 7y + (-6 * 3 + y * 3) = 5(y + 2) + -2 7y + (-18 + 3y) = 5(y + 2) + -2 Reorder the terms: -18 + 7y + 3y = 5(y + 2) + -2 Combine like terms: 7y + 3y = 10y -18 + 10y = 5(y + 2) + -2 Reorder the terms: -18 + 10y = 5(2 + y) + -2 -18 + 10y = (2 * 5 + y * 5) + -2 -18 + 10y = (10 + 5y) + -2 Reorder the terms: -18 + 10y = 10 + -2 + 5y Combine like terms: 10 + -2 = 8 -18 + 10y = 8 + 5y Solving -18 + 10y = 8 + 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. -18 + 10y + -5y = 8 + 5y + -5y Combine like terms: 10y + -5y = 5y -18 + 5y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 5y = 8 + 0 -18 + 5y = 8 Add '18' to each side of the equation. -18 + 18 + 5y = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = 8 + 18 5y = 8 + 18 Combine like terms: 8 + 18 = 26 5y = 26 Divide each side by '5'. y = 5.2 Simplifying y = 5.2
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