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Simplifying 3(y + -2) = 2(x + -1) + 3 Reorder the terms: 3(-2 + y) = 2(x + -1) + 3 (-2 * 3 + y * 3) = 2(x + -1) + 3 (-6 + 3y) = 2(x + -1) + 3 Reorder the terms: -6 + 3y = 2(-1 + x) + 3 -6 + 3y = (-1 * 2 + x * 2) + 3 -6 + 3y = (-2 + 2x) + 3 Reorder the terms: -6 + 3y = -2 + 3 + 2x Combine like terms: -2 + 3 = 1 -6 + 3y = 1 + 2x Solving -6 + 3y = 1 + 2x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3y = 1 + 6 + 2x Combine like terms: -6 + 6 = 0 0 + 3y = 1 + 6 + 2x 3y = 1 + 6 + 2x Combine like terms: 1 + 6 = 7 3y = 7 + 2x Divide each side by '3'. y = 2.333333333 + 0.6666666667x Simplifying y = 2.333333333 + 0.6666666667x
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