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Simplifying -3(4y + -7) + 2(2y + 7) = 0 Reorder the terms: -3(-7 + 4y) + 2(2y + 7) = 0 (-7 * -3 + 4y * -3) + 2(2y + 7) = 0 (21 + -12y) + 2(2y + 7) = 0 Reorder the terms: 21 + -12y + 2(7 + 2y) = 0 21 + -12y + (7 * 2 + 2y * 2) = 0 21 + -12y + (14 + 4y) = 0 Reorder the terms: 21 + 14 + -12y + 4y = 0 Combine like terms: 21 + 14 = 35 35 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 35 + -8y = 0 Solving 35 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -8y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8y = 0 + -35 -8y = 0 + -35 Combine like terms: 0 + -35 = -35 -8y = -35 Divide each side by '-8'. y = 4.375 Simplifying y = 4.375
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