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Simplifying -3(2y + 4) + -2 = (y + 7) + 2y Reorder the terms: -3(4 + 2y) + -2 = (y + 7) + 2y (4 * -3 + 2y * -3) + -2 = (y + 7) + 2y (-12 + -6y) + -2 = (y + 7) + 2y Reorder the terms: -12 + -2 + -6y = (y + 7) + 2y Combine like terms: -12 + -2 = -14 -14 + -6y = (y + 7) + 2y Reorder the terms: -14 + -6y = (7 + y) + 2y Remove parenthesis around (7 + y) -14 + -6y = 7 + y + 2y Combine like terms: y + 2y = 3y -14 + -6y = 7 + 3y Solving -14 + -6y = 7 + 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. -14 + -6y + -3y = 7 + 3y + -3y Combine like terms: -6y + -3y = -9y -14 + -9y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + -9y = 7 + 0 -14 + -9y = 7 Add '14' to each side of the equation. -14 + 14 + -9y = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -9y = 7 + 14 -9y = 7 + 14 Combine like terms: 7 + 14 = 21 -9y = 21 Divide each side by '-9'. y = -2.333333333 Simplifying y = -2.333333333
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