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Simplifying 6y + 10 = 4y + -2x + 8 Reorder the terms: 10 + 6y = 4y + -2x + 8 Reorder the terms: 10 + 6y = 8 + -2x + 4y Solving 10 + 6y = 8 + -2x + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + 6y + -4y = 8 + -2x + 4y + -4y Combine like terms: 6y + -4y = 2y 10 + 2y = 8 + -2x + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 2y = 8 + -2x + 0 10 + 2y = 8 + -2x Add '-10' to each side of the equation. 10 + -10 + 2y = 8 + -10 + -2x Combine like terms: 10 + -10 = 0 0 + 2y = 8 + -10 + -2x 2y = 8 + -10 + -2x Combine like terms: 8 + -10 = -2 2y = -2 + -2x Divide each side by '2'. y = -1 + -1x Simplifying y = -1 + -1x
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