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Simplifying 4(y + 2) + -2(5 + -3y) = 12 Reorder the terms: 4(2 + y) + -2(5 + -3y) = 12 (2 * 4 + y * 4) + -2(5 + -3y) = 12 (8 + 4y) + -2(5 + -3y) = 12 8 + 4y + (5 * -2 + -3y * -2) = 12 8 + 4y + (-10 + 6y) = 12 Reorder the terms: 8 + -10 + 4y + 6y = 12 Combine like terms: 8 + -10 = -2 -2 + 4y + 6y = 12 Combine like terms: 4y + 6y = 10y -2 + 10y = 12 Solving -2 + 10y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 10y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 10y = 12 + 2 10y = 12 + 2 Combine like terms: 12 + 2 = 14 10y = 14 Divide each side by '10'. y = 1.4 Simplifying y = 1.4
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