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Simplifying 5y + -2 = 2(y + 5) Reorder the terms: -2 + 5y = 2(y + 5) Reorder the terms: -2 + 5y = 2(5 + y) -2 + 5y = (5 * 2 + y * 2) -2 + 5y = (10 + 2y) Solving -2 + 5y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -2 + 5y + -2y = 10 + 2y + -2y Combine like terms: 5y + -2y = 3y -2 + 3y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 3y = 10 + 0 -2 + 3y = 10 Add '2' to each side of the equation. -2 + 2 + 3y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 10 + 2 3y = 10 + 2 Combine like terms: 10 + 2 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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