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Simplifying 2(y + 2) + 2y = 3(y + -3) Reorder the terms: 2(2 + y) + 2y = 3(y + -3) (2 * 2 + y * 2) + 2y = 3(y + -3) (4 + 2y) + 2y = 3(y + -3) Combine like terms: 2y + 2y = 4y 4 + 4y = 3(y + -3) Reorder the terms: 4 + 4y = 3(-3 + y) 4 + 4y = (-3 * 3 + y * 3) 4 + 4y = (-9 + 3y) Solving 4 + 4y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 4 + 4y + -3y = -9 + 3y + -3y Combine like terms: 4y + -3y = 1y 4 + 1y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 1y = -9 + 0 4 + 1y = -9 Add '-4' to each side of the equation. 4 + -4 + 1y = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = -9 + -4 1y = -9 + -4 Combine like terms: -9 + -4 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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