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Simplifying 4(y + -1) = 6y + -12 Reorder the terms: 4(-1 + y) = 6y + -12 (-1 * 4 + y * 4) = 6y + -12 (-4 + 4y) = 6y + -12 Reorder the terms: -4 + 4y = -12 + 6y Solving -4 + 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. -4 + 4y + -6y = -12 + 6y + -6y Combine like terms: 4y + -6y = -2y -4 + -2y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + -2y = -12 + 0 -4 + -2y = -12 Add '4' to each side of the equation. -4 + 4 + -2y = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = -12 + 4 -2y = -12 + 4 Combine like terms: -12 + 4 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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