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Simplifying -5y + 12 = -2(4y + -6) Reorder the terms: 12 + -5y = -2(4y + -6) Reorder the terms: 12 + -5y = -2(-6 + 4y) 12 + -5y = (-6 * -2 + 4y * -2) 12 + -5y = (12 + -8y) Add '-12' to each side of the equation. 12 + -12 + -5y = 12 + -12 + -8y Combine like terms: 12 + -12 = 0 0 + -5y = 12 + -12 + -8y -5y = 12 + -12 + -8y Combine like terms: 12 + -12 = 0 -5y = 0 + -8y -5y = -8y Solving -5y = -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -5y + 8y = -8y + 8y Combine like terms: -5y + 8y = 3y 3y = -8y + 8y Combine like terms: -8y + 8y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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