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Simplifying 2y + 4(y + 3) = 8y + 6(3y + 5) Reorder the terms: 2y + 4(3 + y) = 8y + 6(3y + 5) 2y + (3 * 4 + y * 4) = 8y + 6(3y + 5) 2y + (12 + 4y) = 8y + 6(3y + 5) Reorder the terms: 12 + 2y + 4y = 8y + 6(3y + 5) Combine like terms: 2y + 4y = 6y 12 + 6y = 8y + 6(3y + 5) Reorder the terms: 12 + 6y = 8y + 6(5 + 3y) 12 + 6y = 8y + (5 * 6 + 3y * 6) 12 + 6y = 8y + (30 + 18y) Reorder the terms: 12 + 6y = 30 + 8y + 18y Combine like terms: 8y + 18y = 26y 12 + 6y = 30 + 26y Solving 12 + 6y = 30 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. 12 + 6y + -26y = 30 + 26y + -26y Combine like terms: 6y + -26y = -20y 12 + -20y = 30 + 26y + -26y Combine like terms: 26y + -26y = 0 12 + -20y = 30 + 0 12 + -20y = 30 Add '-12' to each side of the equation. 12 + -12 + -20y = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -20y = 30 + -12 -20y = 30 + -12 Combine like terms: 30 + -12 = 18 -20y = 18 Divide each side by '-20'. y = -0.9 Simplifying y = -0.9
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