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Simplifying 4(2y + -3) + -1(7y + 2) = 0 Reorder the terms: 4(-3 + 2y) + -1(7y + 2) = 0 (-3 * 4 + 2y * 4) + -1(7y + 2) = 0 (-12 + 8y) + -1(7y + 2) = 0 Reorder the terms: -12 + 8y + -1(2 + 7y) = 0 -12 + 8y + (2 * -1 + 7y * -1) = 0 -12 + 8y + (-2 + -7y) = 0 Reorder the terms: -12 + -2 + 8y + -7y = 0 Combine like terms: -12 + -2 = -14 -14 + 8y + -7y = 0 Combine like terms: 8y + -7y = 1y -14 + 1y = 0 Solving -14 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1y = 0 + 14 1y = 0 + 14 Combine like terms: 0 + 14 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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