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Simplifying y + 4 + -6y = -4(y + -3) Reorder the terms: 4 + y + -6y = -4(y + -3) Combine like terms: y + -6y = -5y 4 + -5y = -4(y + -3) Reorder the terms: 4 + -5y = -4(-3 + y) 4 + -5y = (-3 * -4 + y * -4) 4 + -5y = (12 + -4y) Solving 4 + -5y = 12 + -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. 4 + -5y + 4y = 12 + -4y + 4y Combine like terms: -5y + 4y = -1y 4 + -1y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + -1y = 12 + 0 4 + -1y = 12 Add '-4' to each side of the equation. 4 + -4 + -1y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 12 + -4 -1y = 12 + -4 Combine like terms: 12 + -4 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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