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Simplifying 3(y + 1) + 4 = 2(y + -1) + y + y Reorder the terms: 3(1 + y) + 4 = 2(y + -1) + y + y (1 * 3 + y * 3) + 4 = 2(y + -1) + y + y (3 + 3y) + 4 = 2(y + -1) + y + y Reorder the terms: 3 + 4 + 3y = 2(y + -1) + y + y Combine like terms: 3 + 4 = 7 7 + 3y = 2(y + -1) + y + y Reorder the terms: 7 + 3y = 2(-1 + y) + y + y 7 + 3y = (-1 * 2 + y * 2) + y + y 7 + 3y = (-2 + 2y) + y + y Combine like terms: 2y + y = 3y 7 + 3y = -2 + 3y + y Combine like terms: 3y + y = 4y 7 + 3y = -2 + 4y Solving 7 + 3y = -2 + 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 = -2 + 4y + -4y Combine like terms: 3y + -4y = -1y 7 + -1y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + -1y = -2 + 0 7 + -1y = -2 Add '-7' to each side of the equation. 7 + -7 + -1y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = -2 + -7 -1y = -2 + -7 Combine like terms: -2 + -7 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9
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