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Simplifying -2y + 12 = -2(3y + 8) Reorder the terms: 12 + -2y = -2(3y + 8) Reorder the terms: 12 + -2y = -2(8 + 3y) 12 + -2y = (8 * -2 + 3y * -2) 12 + -2y = (-16 + -6y) Solving 12 + -2y = -16 + -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 + -2y + 6y = -16 + -6y + 6y Combine like terms: -2y + 6y = 4y 12 + 4y = -16 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 4y = -16 + 0 12 + 4y = -16 Add '-12' to each side of the equation. 12 + -12 + 4y = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -16 + -12 4y = -16 + -12 Combine like terms: -16 + -12 = -28 4y = -28 Divide each side by '4'. y = -7 Simplifying y = -7
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