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Simplifying -3(5y + -1) + 3y = 6(y + 1) Reorder the terms: -3(-1 + 5y) + 3y = 6(y + 1) (-1 * -3 + 5y * -3) + 3y = 6(y + 1) (3 + -15y) + 3y = 6(y + 1) Combine like terms: -15y + 3y = -12y 3 + -12y = 6(y + 1) Reorder the terms: 3 + -12y = 6(1 + y) 3 + -12y = (1 * 6 + y * 6) 3 + -12y = (6 + 6y) Solving 3 + -12y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 3 + -12y + -6y = 6 + 6y + -6y Combine like terms: -12y + -6y = -18y 3 + -18y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 3 + -18y = 6 + 0 3 + -18y = 6 Add '-3' to each side of the equation. 3 + -3 + -18y = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -18y = 6 + -3 -18y = 6 + -3 Combine like terms: 6 + -3 = 3 -18y = 3 Divide each side by '-18'. y = -0.1666666667 Simplifying y = -0.1666666667
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