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Simplifying 4(2y + 2) + 2(y + -3) = 12 Reorder the terms: 4(2 + 2y) + 2(y + -3) = 12 (2 * 4 + 2y * 4) + 2(y + -3) = 12 (8 + 8y) + 2(y + -3) = 12 Reorder the terms: 8 + 8y + 2(-3 + y) = 12 8 + 8y + (-3 * 2 + y * 2) = 12 8 + 8y + (-6 + 2y) = 12 Reorder the terms: 8 + -6 + 8y + 2y = 12 Combine like terms: 8 + -6 = 2 2 + 8y + 2y = 12 Combine like terms: 8y + 2y = 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 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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