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Simplifying -4y + -12 = 3y + 16 Reorder the terms: -12 + -4y = 3y + 16 Reorder the terms: -12 + -4y = 16 + 3y Solving -12 + -4y = 16 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + -4y + -3y = 16 + 3y + -3y Combine like terms: -4y + -3y = -7y -12 + -7y = 16 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + -7y = 16 + 0 -12 + -7y = 16 Add '12' to each side of the equation. -12 + 12 + -7y = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -7y = 16 + 12 -7y = 16 + 12 Combine like terms: 16 + 12 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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