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Simplifying 7y + 3(y + -6) = (y + 2) + -4 Reorder the terms: 7y + 3(-6 + y) = (y + 2) + -4 7y + (-6 * 3 + y * 3) = (y + 2) + -4 7y + (-18 + 3y) = (y + 2) + -4 Reorder the terms: -18 + 7y + 3y = (y + 2) + -4 Combine like terms: 7y + 3y = 10y -18 + 10y = (y + 2) + -4 Reorder the terms: -18 + 10y = (2 + y) + -4 Remove parenthesis around (2 + y) -18 + 10y = 2 + y + -4 Reorder the terms: -18 + 10y = 2 + -4 + y Combine like terms: 2 + -4 = -2 -18 + 10y = -2 + y Solving -18 + 10y = -2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -18 + 10y + -1y = -2 + y + -1y Combine like terms: 10y + -1y = 9y -18 + 9y = -2 + y + -1y Combine like terms: y + -1y = 0 -18 + 9y = -2 + 0 -18 + 9y = -2 Add '18' to each side of the equation. -18 + 18 + 9y = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 9y = -2 + 18 9y = -2 + 18 Combine like terms: -2 + 18 = 16 9y = 16 Divide each side by '9'. y = 1.777777778 Simplifying y = 1.777777778
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