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Simplifying 7y + 2(y + -5) = 4(y + 2) + -2 Reorder the terms: 7y + 2(-5 + y) = 4(y + 2) + -2 7y + (-5 * 2 + y * 2) = 4(y + 2) + -2 7y + (-10 + 2y) = 4(y + 2) + -2 Reorder the terms: -10 + 7y + 2y = 4(y + 2) + -2 Combine like terms: 7y + 2y = 9y -10 + 9y = 4(y + 2) + -2 Reorder the terms: -10 + 9y = 4(2 + y) + -2 -10 + 9y = (2 * 4 + y * 4) + -2 -10 + 9y = (8 + 4y) + -2 Reorder the terms: -10 + 9y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -10 + 9y = 6 + 4y Solving -10 + 9y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10 + 9y + -4y = 6 + 4y + -4y Combine like terms: 9y + -4y = 5y -10 + 5y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 5y = 6 + 0 -10 + 5y = 6 Add '10' to each side of the equation. -10 + 10 + 5y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 5y = 6 + 10 5y = 6 + 10 Combine like terms: 6 + 10 = 16 5y = 16 Divide each side by '5'. y = 3.2 Simplifying y = 3.2
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