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Simplifying 4(3 + -1y) + -2y = 5(4 + -2y) (3 * 4 + -1y * 4) + -2y = 5(4 + -2y) (12 + -4y) + -2y = 5(4 + -2y) Combine like terms: -4y + -2y = -6y 12 + -6y = 5(4 + -2y) 12 + -6y = (4 * 5 + -2y * 5) 12 + -6y = (20 + -10y) Solving 12 + -6y = 20 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 12 + -6y + 10y = 20 + -10y + 10y Combine like terms: -6y + 10y = 4y 12 + 4y = 20 + -10y + 10y Combine like terms: -10y + 10y = 0 12 + 4y = 20 + 0 12 + 4y = 20 Add '-12' to each side of the equation. 12 + -12 + 4y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 20 + -12 4y = 20 + -12 Combine like terms: 20 + -12 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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