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Simplifying 2(y + -3) + 5 = 3(x + -1) Reorder the terms: 2(-3 + y) + 5 = 3(x + -1) (-3 * 2 + y * 2) + 5 = 3(x + -1) (-6 + 2y) + 5 = 3(x + -1) Reorder the terms: -6 + 5 + 2y = 3(x + -1) Combine like terms: -6 + 5 = -1 -1 + 2y = 3(x + -1) Reorder the terms: -1 + 2y = 3(-1 + x) -1 + 2y = (-1 * 3 + x * 3) -1 + 2y = (-3 + 3x) Solving -1 + 2y = -3 + 3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2y = -3 + 1 + 3x Combine like terms: -1 + 1 = 0 0 + 2y = -3 + 1 + 3x 2y = -3 + 1 + 3x Combine like terms: -3 + 1 = -2 2y = -2 + 3x Divide each side by '2'. y = -1 + 1.5x Simplifying y = -1 + 1.5x
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