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Simplifying 4(y + -2) = 6(9 + y) Reorder the terms: 4(-2 + y) = 6(9 + y) (-2 * 4 + y * 4) = 6(9 + y) (-8 + 4y) = 6(9 + y) -8 + 4y = (9 * 6 + y * 6) -8 + 4y = (54 + 6y) Solving -8 + 4y = 54 + 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. -8 + 4y + -6y = 54 + 6y + -6y Combine like terms: 4y + -6y = -2y -8 + -2y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -2y = 54 + 0 -8 + -2y = 54 Add '8' to each side of the equation. -8 + 8 + -2y = 54 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 54 + 8 -2y = 54 + 8 Combine like terms: 54 + 8 = 62 -2y = 62 Divide each side by '-2'. y = -31 Simplifying y = -31
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