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Simplifying -3(4y + -3) + -1y = 2(y + -3) Reorder the terms: -3(-3 + 4y) + -1y = 2(y + -3) (-3 * -3 + 4y * -3) + -1y = 2(y + -3) (9 + -12y) + -1y = 2(y + -3) Combine like terms: -12y + -1y = -13y 9 + -13y = 2(y + -3) Reorder the terms: 9 + -13y = 2(-3 + y) 9 + -13y = (-3 * 2 + y * 2) 9 + -13y = (-6 + 2y) Solving 9 + -13y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 9 + -13y + -2y = -6 + 2y + -2y Combine like terms: -13y + -2y = -15y 9 + -15y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + -15y = -6 + 0 9 + -15y = -6 Add '-9' to each side of the equation. 9 + -9 + -15y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -15y = -6 + -9 -15y = -6 + -9 Combine like terms: -6 + -9 = -15 -15y = -15 Divide each side by '-15'. y = 1 Simplifying y = 1
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