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Simplifying 8(y + 1) = 10(y + -2) Reorder the terms: 8(1 + y) = 10(y + -2) (1 * 8 + y * 8) = 10(y + -2) (8 + 8y) = 10(y + -2) Reorder the terms: 8 + 8y = 10(-2 + y) 8 + 8y = (-2 * 10 + y * 10) 8 + 8y = (-20 + 10y) Solving 8 + 8y = -20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 8 + 8y + -10y = -20 + 10y + -10y Combine like terms: 8y + -10y = -2y 8 + -2y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 8 + -2y = -20 + 0 8 + -2y = -20 Add '-8' to each side of the equation. 8 + -8 + -2y = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = -20 + -8 -2y = -20 + -8 Combine like terms: -20 + -8 = -28 -2y = -28 Divide each side by '-2'. y = 14 Simplifying y = 14
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