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Simplifying 3(y + 7) = 4(y + -2) Reorder the terms: 3(7 + y) = 4(y + -2) (7 * 3 + y * 3) = 4(y + -2) (21 + 3y) = 4(y + -2) Reorder the terms: 21 + 3y = 4(-2 + y) 21 + 3y = (-2 * 4 + y * 4) 21 + 3y = (-8 + 4y) Solving 21 + 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. 21 + 3y + -4y = -8 + 4y + -4y Combine like terms: 3y + -4y = -1y 21 + -1y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 21 + -1y = -8 + 0 21 + -1y = -8 Add '-21' to each side of the equation. 21 + -21 + -1y = -8 + -21 Combine like terms: 21 + -21 = 0 0 + -1y = -8 + -21 -1y = -8 + -21 Combine like terms: -8 + -21 = -29 -1y = -29 Divide each side by '-1'. y = 29 Simplifying y = 29
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