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Simplifying 4(y + 3) = 2(3y + 10) Reorder the terms: 4(3 + y) = 2(3y + 10) (3 * 4 + y * 4) = 2(3y + 10) (12 + 4y) = 2(3y + 10) Reorder the terms: 12 + 4y = 2(10 + 3y) 12 + 4y = (10 * 2 + 3y * 2) 12 + 4y = (20 + 6y) Solving 12 + 4y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 4y + -6y = 20 + 6y + -6y Combine like terms: 4y + -6y = -2y 12 + -2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -2y = 20 + 0 12 + -2y = 20 Add '-12' to each side of the equation. 12 + -12 + -2y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = 20 + -12 -2y = 20 + -12 Combine like terms: 20 + -12 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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