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Simplifying -4(3y + -2) + 5y = 2(y + 1) Reorder the terms: -4(-2 + 3y) + 5y = 2(y + 1) (-2 * -4 + 3y * -4) + 5y = 2(y + 1) (8 + -12y) + 5y = 2(y + 1) Combine like terms: -12y + 5y = -7y 8 + -7y = 2(y + 1) Reorder the terms: 8 + -7y = 2(1 + y) 8 + -7y = (1 * 2 + y * 2) 8 + -7y = (2 + 2y) Solving 8 + -7y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + -7y + -2y = 2 + 2y + -2y Combine like terms: -7y + -2y = -9y 8 + -9y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -9y = 2 + 0 8 + -9y = 2 Add '-8' to each side of the equation. 8 + -8 + -9y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = 2 + -8 -9y = 2 + -8 Combine like terms: 2 + -8 = -6 -9y = -6 Divide each side by '-9'. y = 0.6666666667 Simplifying y = 0.6666666667
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