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Simplifying 2(y + 3) = 4(y + -2) Reorder the terms: 2(3 + y) = 4(y + -2) (3 * 2 + y * 2) = 4(y + -2) (6 + 2y) = 4(y + -2) Reorder the terms: 6 + 2y = 4(-2 + y) 6 + 2y = (-2 * 4 + y * 4) 6 + 2y = (-8 + 4y) Solving 6 + 2y = -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. 6 + 2y + -4y = -8 + 4y + -4y Combine like terms: 2y + -4y = -2y 6 + -2y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + -2y = -8 + 0 6 + -2y = -8 Add '-6' to each side of the equation. 6 + -6 + -2y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2y = -8 + -6 -2y = -8 + -6 Combine like terms: -8 + -6 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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