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Simplifying 3y + -5y + -1(2 + -6) = 8y + -2(9y + -6) Combine like terms: 2 + -6 = -4 3y + -5y + -1(-4) = 8y + -2(9y + -6) Multiply -1 * -4 3y + -5y + 4 = 8y + -2(9y + -6) Reorder the terms: 4 + 3y + -5y = 8y + -2(9y + -6) Combine like terms: 3y + -5y = -2y 4 + -2y = 8y + -2(9y + -6) Reorder the terms: 4 + -2y = 8y + -2(-6 + 9y) 4 + -2y = 8y + (-6 * -2 + 9y * -2) 4 + -2y = 8y + (12 + -18y) Reorder the terms: 4 + -2y = 12 + 8y + -18y Combine like terms: 8y + -18y = -10y 4 + -2y = 12 + -10y Solving 4 + -2y = 12 + -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. 4 + -2y + 10y = 12 + -10y + 10y Combine like terms: -2y + 10y = 8y 4 + 8y = 12 + -10y + 10y Combine like terms: -10y + 10y = 0 4 + 8y = 12 + 0 4 + 8y = 12 Add '-4' to each side of the equation. 4 + -4 + 8y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = 12 + -4 8y = 12 + -4 Combine like terms: 12 + -4 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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