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Simplifying 5 + -3(x + -1) = 2y + -3x + 2 Reorder the terms: 5 + -3(-1 + x) = 2y + -3x + 2 5 + (-1 * -3 + x * -3) = 2y + -3x + 2 5 + (3 + -3x) = 2y + -3x + 2 Combine like terms: 5 + 3 = 8 8 + -3x = 2y + -3x + 2 Reorder the terms: 8 + -3x = 2 + -3x + 2y Add '3x' to each side of the equation. 8 + -3x + 3x = 2 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 8 + 0 = 2 + -3x + 3x + 2y 8 = 2 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 8 = 2 + 0 + 2y 8 = 2 + 2y Solving 8 = 2 + 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. 8 + -2y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -2y = 2 + 0 8 + -2y = 2 Add '-8' to each side of the equation. 8 + -8 + -2y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = 2 + -8 -2y = 2 + -8 Combine like terms: 2 + -8 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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