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Simplifying -2(y + -3) + 7 = -7y + 3 Reorder the terms: -2(-3 + y) + 7 = -7y + 3 (-3 * -2 + y * -2) + 7 = -7y + 3 (6 + -2y) + 7 = -7y + 3 Reorder the terms: 6 + 7 + -2y = -7y + 3 Combine like terms: 6 + 7 = 13 13 + -2y = -7y + 3 Reorder the terms: 13 + -2y = 3 + -7y Solving 13 + -2y = 3 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 13 + -2y + 7y = 3 + -7y + 7y Combine like terms: -2y + 7y = 5y 13 + 5y = 3 + -7y + 7y Combine like terms: -7y + 7y = 0 13 + 5y = 3 + 0 13 + 5y = 3 Add '-13' to each side of the equation. 13 + -13 + 5y = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = 3 + -13 5y = 3 + -13 Combine like terms: 3 + -13 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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