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Simplifying -5(3y + -1) + 6y = 3(y + 1) Reorder the terms: -5(-1 + 3y) + 6y = 3(y + 1) (-1 * -5 + 3y * -5) + 6y = 3(y + 1) (5 + -15y) + 6y = 3(y + 1) Combine like terms: -15y + 6y = -9y 5 + -9y = 3(y + 1) Reorder the terms: 5 + -9y = 3(1 + y) 5 + -9y = (1 * 3 + y * 3) 5 + -9y = (3 + 3y) Solving 5 + -9y = 3 + 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. 5 + -9y + -3y = 3 + 3y + -3y Combine like terms: -9y + -3y = -12y 5 + -12y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + -12y = 3 + 0 5 + -12y = 3 Add '-5' to each side of the equation. 5 + -5 + -12y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -12y = 3 + -5 -12y = 3 + -5 Combine like terms: 3 + -5 = -2 -12y = -2 Divide each side by '-12'. y = 0.1666666667 Simplifying y = 0.1666666667
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