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Simplifying 9(y + -4) + -7y = (3y + -2) Reorder the terms: 9(-4 + y) + -7y = (3y + -2) (-4 * 9 + y * 9) + -7y = (3y + -2) (-36 + 9y) + -7y = (3y + -2) Combine like terms: 9y + -7y = 2y -36 + 2y = (3y + -2) Reorder the terms: -36 + 2y = (-2 + 3y) Remove parenthesis around (-2 + 3y) -36 + 2y = -2 + 3y Solving -36 + 2y = -2 + 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. -36 + 2y + -3y = -2 + 3y + -3y Combine like terms: 2y + -3y = -1y -36 + -1y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + -1y = -2 + 0 -36 + -1y = -2 Add '36' to each side of the equation. -36 + 36 + -1y = -2 + 36 Combine like terms: -36 + 36 = 0 0 + -1y = -2 + 36 -1y = -2 + 36 Combine like terms: -2 + 36 = 34 -1y = 34 Divide each side by '-1'. y = -34 Simplifying y = -34
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