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Simplifying -2y + 8 = -2(3y + 6) Reorder the terms: 8 + -2y = -2(3y + 6) Reorder the terms: 8 + -2y = -2(6 + 3y) 8 + -2y = (6 * -2 + 3y * -2) 8 + -2y = (-12 + -6y) Solving 8 + -2y = -12 + -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. 8 + -2y + 6y = -12 + -6y + 6y Combine like terms: -2y + 6y = 4y 8 + 4y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 4y = -12 + 0 8 + 4y = -12 Add '-8' to each side of the equation. 8 + -8 + 4y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = -12 + -8 4y = -12 + -8 Combine like terms: -12 + -8 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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