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Simplifying -4(3y + -2) + 9y = 7(y + 2) Reorder the terms: -4(-2 + 3y) + 9y = 7(y + 2) (-2 * -4 + 3y * -4) + 9y = 7(y + 2) (8 + -12y) + 9y = 7(y + 2) Combine like terms: -12y + 9y = -3y 8 + -3y = 7(y + 2) Reorder the terms: 8 + -3y = 7(2 + y) 8 + -3y = (2 * 7 + y * 7) 8 + -3y = (14 + 7y) Solving 8 + -3y = 14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8 + -3y + -7y = 14 + 7y + -7y Combine like terms: -3y + -7y = -10y 8 + -10y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + -10y = 14 + 0 8 + -10y = 14 Add '-8' to each side of the equation. 8 + -8 + -10y = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -10y = 14 + -8 -10y = 14 + -8 Combine like terms: 14 + -8 = 6 -10y = 6 Divide each side by '-10'. y = -0.6 Simplifying y = -0.6
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