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Simplifying 48 = -12(y + 8) Reorder the terms: 48 = -12(8 + y) 48 = (8 * -12 + y * -12) 48 = (-96 + -12y) Solving 48 = -96 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 48 + 12y = -96 + -12y + 12y Combine like terms: -12y + 12y = 0 48 + 12y = -96 + 0 48 + 12y = -96 Add '-48' to each side of the equation. 48 + -48 + 12y = -96 + -48 Combine like terms: 48 + -48 = 0 0 + 12y = -96 + -48 12y = -96 + -48 Combine like terms: -96 + -48 = -144 12y = -144 Divide each side by '12'. y = -12 Simplifying y = -12
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