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Simplifying 8(y + 3) = -2(2y + -6) Reorder the terms: 8(3 + y) = -2(2y + -6) (3 * 8 + y * 8) = -2(2y + -6) (24 + 8y) = -2(2y + -6) Reorder the terms: 24 + 8y = -2(-6 + 2y) 24 + 8y = (-6 * -2 + 2y * -2) 24 + 8y = (12 + -4y) Solving 24 + 8y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 24 + 8y + 4y = 12 + -4y + 4y Combine like terms: 8y + 4y = 12y 24 + 12y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 24 + 12y = 12 + 0 24 + 12y = 12 Add '-24' to each side of the equation. 24 + -24 + 12y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 12y = 12 + -24 12y = 12 + -24 Combine like terms: 12 + -24 = -12 12y = -12 Divide each side by '12'. y = -1 Simplifying y = -1
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