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Simplifying 6(y + 2) = 10(y + 1) Reorder the terms: 6(2 + y) = 10(y + 1) (2 * 6 + y * 6) = 10(y + 1) (12 + 6y) = 10(y + 1) Reorder the terms: 12 + 6y = 10(1 + y) 12 + 6y = (1 * 10 + y * 10) 12 + 6y = (10 + 10y) Solving 12 + 6y = 10 + 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. 12 + 6y + -10y = 10 + 10y + -10y Combine like terms: 6y + -10y = -4y 12 + -4y = 10 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -4y = 10 + 0 12 + -4y = 10 Add '-12' to each side of the equation. 12 + -12 + -4y = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = 10 + -12 -4y = 10 + -12 Combine like terms: 10 + -12 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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