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Simplifying -3(y + 4) = 7y + 8 Reorder the terms: -3(4 + y) = 7y + 8 (4 * -3 + y * -3) = 7y + 8 (-12 + -3y) = 7y + 8 Reorder the terms: -12 + -3y = 8 + 7y Solving -12 + -3y = 8 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -12 + -3y + -7y = 8 + 7y + -7y Combine like terms: -3y + -7y = -10y -12 + -10y = 8 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + -10y = 8 + 0 -12 + -10y = 8 Add '12' to each side of the equation. -12 + 12 + -10y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -10y = 8 + 12 -10y = 8 + 12 Combine like terms: 8 + 12 = 20 -10y = 20 Divide each side by '-10'. y = -2 Simplifying y = -2
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