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Simplifying y + 6(y + -3) = 2(3y + -2) Reorder the terms: y + 6(-3 + y) = 2(3y + -2) y + (-3 * 6 + y * 6) = 2(3y + -2) y + (-18 + 6y) = 2(3y + -2) Reorder the terms: -18 + y + 6y = 2(3y + -2) Combine like terms: y + 6y = 7y -18 + 7y = 2(3y + -2) Reorder the terms: -18 + 7y = 2(-2 + 3y) -18 + 7y = (-2 * 2 + 3y * 2) -18 + 7y = (-4 + 6y) Solving -18 + 7y = -4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -18 + 7y + -6y = -4 + 6y + -6y Combine like terms: 7y + -6y = 1y -18 + 1y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 1y = -4 + 0 -18 + 1y = -4 Add '18' to each side of the equation. -18 + 18 + 1y = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = -4 + 18 1y = -4 + 18 Combine like terms: -4 + 18 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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