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Simplifying -45 = 2(3y + -3) + -3(4y + 1) Reorder the terms: -45 = 2(-3 + 3y) + -3(4y + 1) -45 = (-3 * 2 + 3y * 2) + -3(4y + 1) -45 = (-6 + 6y) + -3(4y + 1) Reorder the terms: -45 = -6 + 6y + -3(1 + 4y) -45 = -6 + 6y + (1 * -3 + 4y * -3) -45 = -6 + 6y + (-3 + -12y) Reorder the terms: -45 = -6 + -3 + 6y + -12y Combine like terms: -6 + -3 = -9 -45 = -9 + 6y + -12y Combine like terms: 6y + -12y = -6y -45 = -9 + -6y Solving -45 = -9 + -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. -45 + 6y = -9 + -6y + 6y Combine like terms: -6y + 6y = 0 -45 + 6y = -9 + 0 -45 + 6y = -9 Add '45' to each side of the equation. -45 + 45 + 6y = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 6y = -9 + 45 6y = -9 + 45 Combine like terms: -9 + 45 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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