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Simplifying 88 + 6y = 2(5y + 4) + 2(4y + 10) Reorder the terms: 88 + 6y = 2(4 + 5y) + 2(4y + 10) 88 + 6y = (4 * 2 + 5y * 2) + 2(4y + 10) 88 + 6y = (8 + 10y) + 2(4y + 10) Reorder the terms: 88 + 6y = 8 + 10y + 2(10 + 4y) 88 + 6y = 8 + 10y + (10 * 2 + 4y * 2) 88 + 6y = 8 + 10y + (20 + 8y) Reorder the terms: 88 + 6y = 8 + 20 + 10y + 8y Combine like terms: 8 + 20 = 28 88 + 6y = 28 + 10y + 8y Combine like terms: 10y + 8y = 18y 88 + 6y = 28 + 18y Solving 88 + 6y = 28 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 88 + 6y + -18y = 28 + 18y + -18y Combine like terms: 6y + -18y = -12y 88 + -12y = 28 + 18y + -18y Combine like terms: 18y + -18y = 0 88 + -12y = 28 + 0 88 + -12y = 28 Add '-88' to each side of the equation. 88 + -88 + -12y = 28 + -88 Combine like terms: 88 + -88 = 0 0 + -12y = 28 + -88 -12y = 28 + -88 Combine like terms: 28 + -88 = -60 -12y = -60 Divide each side by '-12'. y = 5 Simplifying y = 5
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