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