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Simplifying -4(3y + -9) + 2(2y + 6) = 0 Reorder the terms: -4(-9 + 3y) + 2(2y + 6) = 0 (-9 * -4 + 3y * -4) + 2(2y + 6) = 0 (36 + -12y) + 2(2y + 6) = 0 Reorder the terms: 36 + -12y + 2(6 + 2y) = 0 36 + -12y + (6 * 2 + 2y * 2) = 0 36 + -12y + (12 + 4y) = 0 Reorder the terms: 36 + 12 + -12y + 4y = 0 Combine like terms: 36 + 12 = 48 48 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 48 + -8y = 0 Solving 48 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -8y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -8y = 0 + -48 -8y = 0 + -48 Combine like terms: 0 + -48 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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