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Simplifying 9(y + -4) + -7y = 5(3y + -2) Reorder the terms: 9(-4 + y) + -7y = 5(3y + -2) (-4 * 9 + y * 9) + -7y = 5(3y + -2) (-36 + 9y) + -7y = 5(3y + -2) Combine like terms: 9y + -7y = 2y -36 + 2y = 5(3y + -2) Reorder the terms: -36 + 2y = 5(-2 + 3y) -36 + 2y = (-2 * 5 + 3y * 5) -36 + 2y = (-10 + 15y) Solving -36 + 2y = -10 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -36 + 2y + -15y = -10 + 15y + -15y Combine like terms: 2y + -15y = -13y -36 + -13y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 -36 + -13y = -10 + 0 -36 + -13y = -10 Add '36' to each side of the equation. -36 + 36 + -13y = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -13y = -10 + 36 -13y = -10 + 36 Combine like terms: -10 + 36 = 26 -13y = 26 Divide each side by '-13'. y = -2 Simplifying y = -2
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