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Simplifying 4(y + 9) = 12y + -4 Reorder the terms: 4(9 + y) = 12y + -4 (9 * 4 + y * 4) = 12y + -4 (36 + 4y) = 12y + -4 Reorder the terms: 36 + 4y = -4 + 12y Solving 36 + 4y = -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. 36 + 4y + -12y = -4 + 12y + -12y Combine like terms: 4y + -12y = -8y 36 + -8y = -4 + 12y + -12y Combine like terms: 12y + -12y = 0 36 + -8y = -4 + 0 36 + -8y = -4 Add '-36' to each side of the equation. 36 + -36 + -8y = -4 + -36 Combine like terms: 36 + -36 = 0 0 + -8y = -4 + -36 -8y = -4 + -36 Combine like terms: -4 + -36 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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