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Simplifying 2x + -2y + 3 = 2x + 7 Reorder the terms: 3 + 2x + -2y = 2x + 7 Reorder the terms: 3 + 2x + -2y = 7 + 2x Add '-2x' to each side of the equation. 3 + 2x + -2x + -2y = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 0 + -2y = 7 + 2x + -2x 3 + -2y = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -2y = 7 + 0 3 + -2y = 7 Solving 3 + -2y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 7 + -3 -2y = 7 + -3 Combine like terms: 7 + -3 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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