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Simplifying 6y + -5(1 + 2y) = 3 + 2(1 + -1y) 6y + (1 * -5 + 2y * -5) = 3 + 2(1 + -1y) 6y + (-5 + -10y) = 3 + 2(1 + -1y) Reorder the terms: -5 + 6y + -10y = 3 + 2(1 + -1y) Combine like terms: 6y + -10y = -4y -5 + -4y = 3 + 2(1 + -1y) -5 + -4y = 3 + (1 * 2 + -1y * 2) -5 + -4y = 3 + (2 + -2y) Combine like terms: 3 + 2 = 5 -5 + -4y = 5 + -2y Solving -5 + -4y = 5 + -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. -5 + -4y + 2y = 5 + -2y + 2y Combine like terms: -4y + 2y = -2y -5 + -2y = 5 + -2y + 2y Combine like terms: -2y + 2y = 0 -5 + -2y = 5 + 0 -5 + -2y = 5 Add '5' to each side of the equation. -5 + 5 + -2y = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 5 + 5 -2y = 5 + 5 Combine like terms: 5 + 5 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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