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Simplifying 3(y + -1) = 3y + 9 + -2(-6y + -3) Reorder the terms: 3(-1 + y) = 3y + 9 + -2(-6y + -3) (-1 * 3 + y * 3) = 3y + 9 + -2(-6y + -3) (-3 + 3y) = 3y + 9 + -2(-6y + -3) Reorder the terms: -3 + 3y = 3y + 9 + -2(-3 + -6y) -3 + 3y = 3y + 9 + (-3 * -2 + -6y * -2) -3 + 3y = 3y + 9 + (6 + 12y) Reorder the terms: -3 + 3y = 9 + 6 + 3y + 12y Combine like terms: 9 + 6 = 15 -3 + 3y = 15 + 3y + 12y Combine like terms: 3y + 12y = 15y -3 + 3y = 15 + 15y Solving -3 + 3y = 15 + 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. -3 + 3y + -15y = 15 + 15y + -15y Combine like terms: 3y + -15y = -12y -3 + -12y = 15 + 15y + -15y Combine like terms: 15y + -15y = 0 -3 + -12y = 15 + 0 -3 + -12y = 15 Add '3' to each side of the equation. -3 + 3 + -12y = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -12y = 15 + 3 -12y = 15 + 3 Combine like terms: 15 + 3 = 18 -12y = 18 Divide each side by '-12'. y = -1.5 Simplifying y = -1.5
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