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Simplifying -5y + 12 = 4(2y + 3) Reorder the terms: 12 + -5y = 4(2y + 3) Reorder the terms: 12 + -5y = 4(3 + 2y) 12 + -5y = (3 * 4 + 2y * 4) 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 = -13y -13y = 8y + -8y Combine like terms: 8y + -8y = 0 -13y = 0 Divide each side by '-13'. y = 0 Simplifying y = 0
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