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Simplifying 8y + 6 = 2(5y + -9) Reorder the terms: 6 + 8y = 2(5y + -9) Reorder the terms: 6 + 8y = 2(-9 + 5y) 6 + 8y = (-9 * 2 + 5y * 2) 6 + 8y = (-18 + 10y) Solving 6 + 8y = -18 + 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. 6 + 8y + -10y = -18 + 10y + -10y Combine like terms: 8y + -10y = -2y 6 + -2y = -18 + 10y + -10y Combine like terms: 10y + -10y = 0 6 + -2y = -18 + 0 6 + -2y = -18 Add '-6' to each side of the equation. 6 + -6 + -2y = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -2y = -18 + -6 -2y = -18 + -6 Combine like terms: -18 + -6 = -24 -2y = -24 Divide each side by '-2'. y = 12 Simplifying y = 12
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