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Simplifying 8(y + 3) = 12y + -4 Reorder the terms: 8(3 + y) = 12y + -4 (3 * 8 + y * 8) = 12y + -4 (24 + 8y) = 12y + -4 Reorder the terms: 24 + 8y = -4 + 12y Solving 24 + 8y = -4 + 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. 24 + 8y + -12y = -4 + 12y + -12y Combine like terms: 8y + -12y = -4y 24 + -4y = -4 + 12y + -12y Combine like terms: 12y + -12y = 0 24 + -4y = -4 + 0 24 + -4y = -4 Add '-24' to each side of the equation. 24 + -24 + -4y = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -4y = -4 + -24 -4y = -4 + -24 Combine like terms: -4 + -24 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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