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