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Simplifying 4(2y + 6) + -3(-2y + 2) = 4 Reorder the terms: 4(6 + 2y) + -3(-2y + 2) = 4 (6 * 4 + 2y * 4) + -3(-2y + 2) = 4 (24 + 8y) + -3(-2y + 2) = 4 Reorder the terms: 24 + 8y + -3(2 + -2y) = 4 24 + 8y + (2 * -3 + -2y * -3) = 4 24 + 8y + (-6 + 6y) = 4 Reorder the terms: 24 + -6 + 8y + 6y = 4 Combine like terms: 24 + -6 = 18 18 + 8y + 6y = 4 Combine like terms: 8y + 6y = 14y 18 + 14y = 4 Solving 18 + 14y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 14y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 14y = 4 + -18 14y = 4 + -18 Combine like terms: 4 + -18 = -14 14y = -14 Divide each side by '14'. y = -1 Simplifying y = -1
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