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Simplifying 5y + 2(y + -2) = 5(y + 1) + -2 Reorder the terms: 5y + 2(-2 + y) = 5(y + 1) + -2 5y + (-2 * 2 + y * 2) = 5(y + 1) + -2 5y + (-4 + 2y) = 5(y + 1) + -2 Reorder the terms: -4 + 5y + 2y = 5(y + 1) + -2 Combine like terms: 5y + 2y = 7y -4 + 7y = 5(y + 1) + -2 Reorder the terms: -4 + 7y = 5(1 + y) + -2 -4 + 7y = (1 * 5 + y * 5) + -2 -4 + 7y = (5 + 5y) + -2 Reorder the terms: -4 + 7y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -4 + 7y = 3 + 5y Solving -4 + 7y = 3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 7y + -5y = 3 + 5y + -5y Combine like terms: 7y + -5y = 2y -4 + 2y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + 2y = 3 + 0 -4 + 2y = 3 Add '4' to each side of the equation. -4 + 4 + 2y = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 3 + 4 2y = 3 + 4 Combine like terms: 3 + 4 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5
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