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Simplifying -3(y + 6) + -4(2y + -1) + -7y = 50 Reorder the terms: -3(6 + y) + -4(2y + -1) + -7y = 50 (6 * -3 + y * -3) + -4(2y + -1) + -7y = 50 (-18 + -3y) + -4(2y + -1) + -7y = 50 Reorder the terms: -18 + -3y + -4(-1 + 2y) + -7y = 50 -18 + -3y + (-1 * -4 + 2y * -4) + -7y = 50 -18 + -3y + (4 + -8y) + -7y = 50 Reorder the terms: -18 + 4 + -3y + -8y + -7y = 50 Combine like terms: -18 + 4 = -14 -14 + -3y + -8y + -7y = 50 Combine like terms: -3y + -8y = -11y -14 + -11y + -7y = 50 Combine like terms: -11y + -7y = -18y -14 + -18y = 50 Solving -14 + -18y = 50 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 + -18y = 50 + 14 Combine like terms: -14 + 14 = 0 0 + -18y = 50 + 14 -18y = 50 + 14 Combine like terms: 50 + 14 = 64 -18y = 64 Divide each side by '-18'. y = -3.555555556 Simplifying y = -3.555555556
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