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Simplifying 7y + 3(y + -6) = 3(y + 2) + -2 Reorder the terms: 7y + 3(-6 + y) = 3(y + 2) + -2 7y + (-6 * 3 + y * 3) = 3(y + 2) + -2 7y + (-18 + 3y) = 3(y + 2) + -2 Reorder the terms: -18 + 7y + 3y = 3(y + 2) + -2 Combine like terms: 7y + 3y = 10y -18 + 10y = 3(y + 2) + -2 Reorder the terms: -18 + 10y = 3(2 + y) + -2 -18 + 10y = (2 * 3 + y * 3) + -2 -18 + 10y = (6 + 3y) + -2 Reorder the terms: -18 + 10y = 6 + -2 + 3y Combine like terms: 6 + -2 = 4 -18 + 10y = 4 + 3y Solving -18 + 10y = 4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -18 + 10y + -3y = 4 + 3y + -3y Combine like terms: 10y + -3y = 7y -18 + 7y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 7y = 4 + 0 -18 + 7y = 4 Add '18' to each side of the equation. -18 + 18 + 7y = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 7y = 4 + 18 7y = 4 + 18 Combine like terms: 4 + 18 = 22 7y = 22 Divide each side by '7'. y = 3.142857143 Simplifying y = 3.142857143
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