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Simplifying 5y + 2(y + -9) = 4(y + 1) + -2 Reorder the terms: 5y + 2(-9 + y) = 4(y + 1) + -2 5y + (-9 * 2 + y * 2) = 4(y + 1) + -2 5y + (-18 + 2y) = 4(y + 1) + -2 Reorder the terms: -18 + 5y + 2y = 4(y + 1) + -2 Combine like terms: 5y + 2y = 7y -18 + 7y = 4(y + 1) + -2 Reorder the terms: -18 + 7y = 4(1 + y) + -2 -18 + 7y = (1 * 4 + y * 4) + -2 -18 + 7y = (4 + 4y) + -2 Reorder the terms: -18 + 7y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -18 + 7y = 2 + 4y Solving -18 + 7y = 2 + 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. -18 + 7y + -4y = 2 + 4y + -4y Combine like terms: 7y + -4y = 3y -18 + 3y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 3y = 2 + 0 -18 + 3y = 2 Add '18' to each side of the equation. -18 + 18 + 3y = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 2 + 18 3y = 2 + 18 Combine like terms: 2 + 18 = 20 3y = 20 Divide each side by '3'. y = 6.666666667 Simplifying y = 6.666666667
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