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Simplifying 7 + 3y = 2(y + 3) + -2(-1 + -1y) Reorder the terms: 7 + 3y = 2(3 + y) + -2(-1 + -1y) 7 + 3y = (3 * 2 + y * 2) + -2(-1 + -1y) 7 + 3y = (6 + 2y) + -2(-1 + -1y) 7 + 3y = 6 + 2y + (-1 * -2 + -1y * -2) 7 + 3y = 6 + 2y + (2 + 2y) Reorder the terms: 7 + 3y = 6 + 2 + 2y + 2y Combine like terms: 6 + 2 = 8 7 + 3y = 8 + 2y + 2y Combine like terms: 2y + 2y = 4y 7 + 3y = 8 + 4y Solving 7 + 3y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7 + 3y + -4y = 8 + 4y + -4y Combine like terms: 3y + -4y = -1y 7 + -1y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + -1y = 8 + 0 7 + -1y = 8 Add '-7' to each side of the equation. 7 + -7 + -1y = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 8 + -7 -1y = 8 + -7 Combine like terms: 8 + -7 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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