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Simplifying 7y + 3(y + -6) = 3(y + 1) + -2 Reorder the terms: 7y + 3(-6 + y) = 3(y + 1) + -2 7y + (-6 * 3 + y * 3) = 3(y + 1) + -2 7y + (-18 + 3y) = 3(y + 1) + -2 Reorder the terms: -18 + 7y + 3y = 3(y + 1) + -2 Combine like terms: 7y + 3y = 10y -18 + 10y = 3(y + 1) + -2 Reorder the terms: -18 + 10y = 3(1 + y) + -2 -18 + 10y = (1 * 3 + y * 3) + -2 -18 + 10y = (3 + 3y) + -2 Reorder the terms: -18 + 10y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -18 + 10y = 1 + 3y Solving -18 + 10y = 1 + 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 = 1 + 3y + -3y Combine like terms: 10y + -3y = 7y -18 + 7y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 7y = 1 + 0 -18 + 7y = 1 Add '18' to each side of the equation. -18 + 18 + 7y = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 7y = 1 + 18 7y = 1 + 18 Combine like terms: 1 + 18 = 19 7y = 19 Divide each side by '7'. y = 2.714285714 Simplifying y = 2.714285714
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