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Simplifying 6(3y + -2) = 2y + -6y + 7 Reorder the terms: 6(-2 + 3y) = 2y + -6y + 7 (-2 * 6 + 3y * 6) = 2y + -6y + 7 (-12 + 18y) = 2y + -6y + 7 Reorder the terms: -12 + 18y = 7 + 2y + -6y Combine like terms: 2y + -6y = -4y -12 + 18y = 7 + -4y Solving -12 + 18y = 7 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + 18y + 4y = 7 + -4y + 4y Combine like terms: 18y + 4y = 22y -12 + 22y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 22y = 7 + 0 -12 + 22y = 7 Add '12' to each side of the equation. -12 + 12 + 22y = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 22y = 7 + 12 22y = 7 + 12 Combine like terms: 7 + 12 = 19 22y = 19 Divide each side by '22'. y = 0.8636363636 Simplifying y = 0.8636363636
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