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Simplifying 3(6y + 2) = 5(4y + -2) Reorder the terms: 3(2 + 6y) = 5(4y + -2) (2 * 3 + 6y * 3) = 5(4y + -2) (6 + 18y) = 5(4y + -2) Reorder the terms: 6 + 18y = 5(-2 + 4y) 6 + 18y = (-2 * 5 + 4y * 5) 6 + 18y = (-10 + 20y) Solving 6 + 18y = -10 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 6 + 18y + -20y = -10 + 20y + -20y Combine like terms: 18y + -20y = -2y 6 + -2y = -10 + 20y + -20y Combine like terms: 20y + -20y = 0 6 + -2y = -10 + 0 6 + -2y = -10 Add '-6' to each side of the equation. 6 + -6 + -2y = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2y = -10 + -6 -2y = -10 + -6 Combine like terms: -10 + -6 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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