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Simplifying -4(y + -7) = 6y + -12 Reorder the terms: -4(-7 + y) = 6y + -12 (-7 * -4 + y * -4) = 6y + -12 (28 + -4y) = 6y + -12 Reorder the terms: 28 + -4y = -12 + 6y Solving 28 + -4y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 28 + -4y + -6y = -12 + 6y + -6y Combine like terms: -4y + -6y = -10y 28 + -10y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 28 + -10y = -12 + 0 28 + -10y = -12 Add '-28' to each side of the equation. 28 + -28 + -10y = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10y = -12 + -28 -10y = -12 + -28 Combine like terms: -12 + -28 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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