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Simplifying -3(y + 6) + -4(2y + -1) + -7y = 65 Reorder the terms: -3(6 + y) + -4(2y + -1) + -7y = 65 (6 * -3 + y * -3) + -4(2y + -1) + -7y = 65 (-18 + -3y) + -4(2y + -1) + -7y = 65 Reorder the terms: -18 + -3y + -4(-1 + 2y) + -7y = 65 -18 + -3y + (-1 * -4 + 2y * -4) + -7y = 65 -18 + -3y + (4 + -8y) + -7y = 65 Reorder the terms: -18 + 4 + -3y + -8y + -7y = 65 Combine like terms: -18 + 4 = -14 -14 + -3y + -8y + -7y = 65 Combine like terms: -3y + -8y = -11y -14 + -11y + -7y = 65 Combine like terms: -11y + -7y = -18y -14 + -18y = 65 Solving -14 + -18y = 65 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 = 65 + 14 Combine like terms: -14 + 14 = 0 0 + -18y = 65 + 14 -18y = 65 + 14 Combine like terms: 65 + 14 = 79 -18y = 79 Divide each side by '-18'. y = -4.388888889 Simplifying y = -4.388888889
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