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