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Simplifying -29(y + 6) = y + 3 + 2y Reorder the terms: -29(6 + y) = y + 3 + 2y (6 * -29 + y * -29) = y + 3 + 2y (-174 + -29y) = y + 3 + 2y Reorder the terms: -174 + -29y = 3 + y + 2y Combine like terms: y + 2y = 3y -174 + -29y = 3 + 3y Solving -174 + -29y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -174 + -29y + -3y = 3 + 3y + -3y Combine like terms: -29y + -3y = -32y -174 + -32y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -174 + -32y = 3 + 0 -174 + -32y = 3 Add '174' to each side of the equation. -174 + 174 + -32y = 3 + 174 Combine like terms: -174 + 174 = 0 0 + -32y = 3 + 174 -32y = 3 + 174 Combine like terms: 3 + 174 = 177 -32y = 177 Divide each side by '-32'. y = -5.53125 Simplifying y = -5.53125
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