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Simplifying 7y + 3(y + -6) = (3y + 2) + -2 Reorder the terms: 7y + 3(-6 + y) = (3y + 2) + -2 7y + (-6 * 3 + y * 3) = (3y + 2) + -2 7y + (-18 + 3y) = (3y + 2) + -2 Reorder the terms: -18 + 7y + 3y = (3y + 2) + -2 Combine like terms: 7y + 3y = 10y -18 + 10y = (3y + 2) + -2 Reorder the terms: -18 + 10y = (2 + 3y) + -2 Remove parenthesis around (2 + 3y) -18 + 10y = 2 + 3y + -2 Reorder the terms: -18 + 10y = 2 + -2 + 3y Combine like terms: 2 + -2 = 0 -18 + 10y = 0 + 3y -18 + 10y = 3y Solving -18 + 10y = 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 = 3y + -3y Combine like terms: 10y + -3y = 7y -18 + 7y = 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 7y = 0 Add '18' to each side of the equation. -18 + 18 + 7y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7y = 0 + 18 7y = 0 + 18 Combine like terms: 0 + 18 = 18 7y = 18 Divide each side by '7'. y = 2.571428571 Simplifying y = 2.571428571
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