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Simplifying 3(3y + -4) + 16 = 6y + -2 Reorder the terms: 3(-4 + 3y) + 16 = 6y + -2 (-4 * 3 + 3y * 3) + 16 = 6y + -2 (-12 + 9y) + 16 = 6y + -2 Reorder the terms: -12 + 16 + 9y = 6y + -2 Combine like terms: -12 + 16 = 4 4 + 9y = 6y + -2 Reorder the terms: 4 + 9y = -2 + 6y Solving 4 + 9y = -2 + 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. 4 + 9y + -6y = -2 + 6y + -6y Combine like terms: 9y + -6y = 3y 4 + 3y = -2 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + 3y = -2 + 0 4 + 3y = -2 Add '-4' to each side of the equation. 4 + -4 + 3y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = -2 + -4 3y = -2 + -4 Combine like terms: -2 + -4 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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