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Simplifying y + -3(4 + -2y) = 6(y + 1) y + (4 * -3 + -2y * -3) = 6(y + 1) y + (-12 + 6y) = 6(y + 1) Reorder the terms: -12 + y + 6y = 6(y + 1) Combine like terms: y + 6y = 7y -12 + 7y = 6(y + 1) Reorder the terms: -12 + 7y = 6(1 + y) -12 + 7y = (1 * 6 + y * 6) -12 + 7y = (6 + 6y) Solving -12 + 7y = 6 + 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. -12 + 7y + -6y = 6 + 6y + -6y Combine like terms: 7y + -6y = 1y -12 + 1y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + 1y = 6 + 0 -12 + 1y = 6 Add '12' to each side of the equation. -12 + 12 + 1y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 6 + 12 1y = 6 + 12 Combine like terms: 6 + 12 = 18 1y = 18 Divide each side by '1'. y = 18 Simplifying y = 18
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