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Simplifying 5(2 + -1y) + -1y = 2(y + 1) (2 * 5 + -1y * 5) + -1y = 2(y + 1) (10 + -5y) + -1y = 2(y + 1) Combine like terms: -5y + -1y = -6y 10 + -6y = 2(y + 1) Reorder the terms: 10 + -6y = 2(1 + y) 10 + -6y = (1 * 2 + y * 2) 10 + -6y = (2 + 2y) Solving 10 + -6y = 2 + 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. 10 + -6y + -2y = 2 + 2y + -2y Combine like terms: -6y + -2y = -8y 10 + -8y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -8y = 2 + 0 10 + -8y = 2 Add '-10' to each side of the equation. 10 + -10 + -8y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = 2 + -10 -8y = 2 + -10 Combine like terms: 2 + -10 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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