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Simplifying 5y + 2(y + -8) = 4(y + 2) + -2 Reorder the terms: 5y + 2(-8 + y) = 4(y + 2) + -2 5y + (-8 * 2 + y * 2) = 4(y + 2) + -2 5y + (-16 + 2y) = 4(y + 2) + -2 Reorder the terms: -16 + 5y + 2y = 4(y + 2) + -2 Combine like terms: 5y + 2y = 7y -16 + 7y = 4(y + 2) + -2 Reorder the terms: -16 + 7y = 4(2 + y) + -2 -16 + 7y = (2 * 4 + y * 4) + -2 -16 + 7y = (8 + 4y) + -2 Reorder the terms: -16 + 7y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -16 + 7y = 6 + 4y Solving -16 + 7y = 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. -16 + 7y + -4y = 6 + 4y + -4y Combine like terms: 7y + -4y = 3y -16 + 3y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 3y = 6 + 0 -16 + 3y = 6 Add '16' to each side of the equation. -16 + 16 + 3y = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 3y = 6 + 16 3y = 6 + 16 Combine like terms: 6 + 16 = 22 3y = 22 Divide each side by '3'. y = 7.333333333 Simplifying y = 7.333333333
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