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Simplifying 4y + 6 = -2y + -45 Reorder the terms: 6 + 4y = -2y + -45 Reorder the terms: 6 + 4y = -45 + -2y Solving 6 + 4y = -45 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 6 + 4y + 2y = -45 + -2y + 2y Combine like terms: 4y + 2y = 6y 6 + 6y = -45 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 6y = -45 + 0 6 + 6y = -45 Add '-6' to each side of the equation. 6 + -6 + 6y = -45 + -6 Combine like terms: 6 + -6 = 0 0 + 6y = -45 + -6 6y = -45 + -6 Combine like terms: -45 + -6 = -51 6y = -51 Divide each side by '6'. y = -8.5 Simplifying y = -8.5
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