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Simplifying 5 + -3(x + 1) = 2y + -3x + 3 Reorder the terms: 5 + -3(1 + x) = 2y + -3x + 3 5 + (1 * -3 + x * -3) = 2y + -3x + 3 5 + (-3 + -3x) = 2y + -3x + 3 Combine like terms: 5 + -3 = 2 2 + -3x = 2y + -3x + 3 Reorder the terms: 2 + -3x = 3 + -3x + 2y Add '3x' to each side of the equation. 2 + -3x + 3x = 3 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 2 + 0 = 3 + -3x + 3x + 2y 2 = 3 + -3x + 3x + 2y Combine like terms: -3x + 3x = 0 2 = 3 + 0 + 2y 2 = 3 + 2y Solving 2 = 3 + 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. 2 + -2y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + -2y = 3 + 0 2 + -2y = 3 Add '-2' to each side of the equation. 2 + -2 + -2y = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = 3 + -2 -2y = 3 + -2 Combine like terms: 3 + -2 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5
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