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Simplifying 4(y + 3) = 6(y + -1) Reorder the terms: 4(3 + y) = 6(y + -1) (3 * 4 + y * 4) = 6(y + -1) (12 + 4y) = 6(y + -1) Reorder the terms: 12 + 4y = 6(-1 + y) 12 + 4y = (-1 * 6 + y * 6) 12 + 4y = (-6 + 6y) Solving 12 + 4y = -6 + 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. 12 + 4y + -6y = -6 + 6y + -6y Combine like terms: 4y + -6y = -2y 12 + -2y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -2y = -6 + 0 12 + -2y = -6 Add '-12' to each side of the equation. 12 + -12 + -2y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = -6 + -12 -2y = -6 + -12 Combine like terms: -6 + -12 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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