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Simplifying -6y + 6 = 3(y + -4) Reorder the terms: 6 + -6y = 3(y + -4) Reorder the terms: 6 + -6y = 3(-4 + y) 6 + -6y = (-4 * 3 + y * 3) 6 + -6y = (-12 + 3y) Solving 6 + -6y = -12 + 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. 6 + -6y + -3y = -12 + 3y + -3y Combine like terms: -6y + -3y = -9y 6 + -9y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + -9y = -12 + 0 6 + -9y = -12 Add '-6' to each side of the equation. 6 + -6 + -9y = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9y = -12 + -6 -9y = -12 + -6 Combine like terms: -12 + -6 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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