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