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Simplifying 7 = 3y + -3 + -1(y + -2) Reorder the terms: 7 = 3y + -3 + -1(-2 + y) 7 = 3y + -3 + (-2 * -1 + y * -1) 7 = 3y + -3 + (2 + -1y) Reorder the terms: 7 = -3 + 2 + 3y + -1y Combine like terms: -3 + 2 = -1 7 = -1 + 3y + -1y Combine like terms: 3y + -1y = 2y 7 = -1 + 2y Solving 7 = -1 + 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. 7 + -2y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + -2y = -1 + 0 7 + -2y = -1 Add '-7' to each side of the equation. 7 + -7 + -2y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = -1 + -7 -2y = -1 + -7 Combine like terms: -1 + -7 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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