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Simplifying -4(6y + 7) + 4(y + -9) = 0 Reorder the terms: -4(7 + 6y) + 4(y + -9) = 0 (7 * -4 + 6y * -4) + 4(y + -9) = 0 (-28 + -24y) + 4(y + -9) = 0 Reorder the terms: -28 + -24y + 4(-9 + y) = 0 -28 + -24y + (-9 * 4 + y * 4) = 0 -28 + -24y + (-36 + 4y) = 0 Reorder the terms: -28 + -36 + -24y + 4y = 0 Combine like terms: -28 + -36 = -64 -64 + -24y + 4y = 0 Combine like terms: -24y + 4y = -20y -64 + -20y = 0 Solving -64 + -20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -20y = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -20y = 0 + 64 -20y = 0 + 64 Combine like terms: 0 + 64 = 64 -20y = 64 Divide each side by '-20'. y = -3.2 Simplifying y = -3.2
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