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Simplifying 3(y + -2) = 9y + 1 + -3(-2y + -3) Reorder the terms: 3(-2 + y) = 9y + 1 + -3(-2y + -3) (-2 * 3 + y * 3) = 9y + 1 + -3(-2y + -3) (-6 + 3y) = 9y + 1 + -3(-2y + -3) Reorder the terms: -6 + 3y = 9y + 1 + -3(-3 + -2y) -6 + 3y = 9y + 1 + (-3 * -3 + -2y * -3) -6 + 3y = 9y + 1 + (9 + 6y) Reorder the terms: -6 + 3y = 1 + 9 + 9y + 6y Combine like terms: 1 + 9 = 10 -6 + 3y = 10 + 9y + 6y Combine like terms: 9y + 6y = 15y -6 + 3y = 10 + 15y Solving -6 + 3y = 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. -6 + 3y + -15y = 10 + 15y + -15y Combine like terms: 3y + -15y = -12y -6 + -12y = 10 + 15y + -15y Combine like terms: 15y + -15y = 0 -6 + -12y = 10 + 0 -6 + -12y = 10 Add '6' to each side of the equation. -6 + 6 + -12y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -12y = 10 + 6 -12y = 10 + 6 Combine like terms: 10 + 6 = 16 -12y = 16 Divide each side by '-12'. y = -1.333333333 Simplifying y = -1.333333333
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