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Simplifying 6(2 + -2y) = 5(2 + -2y) (2 * 6 + -2y * 6) = 5(2 + -2y) (12 + -12y) = 5(2 + -2y) 12 + -12y = (2 * 5 + -2y * 5) 12 + -12y = (10 + -10y) Solving 12 + -12y = 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 + -12y + 10y = 10 + -10y + 10y Combine like terms: -12y + 10y = -2y 12 + -2y = 10 + -10y + 10y Combine like terms: -10y + 10y = 0 12 + -2y = 10 + 0 12 + -2y = 10 Add '-12' to each side of the equation. 12 + -12 + -2y = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = 10 + -12 -2y = 10 + -12 Combine like terms: 10 + -12 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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