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Simplifying y + 7 + -6y = -4(y + -3) Reorder the terms: 7 + y + -6y = -4(y + -3) Combine like terms: y + -6y = -5y 7 + -5y = -4(y + -3) Reorder the terms: 7 + -5y = -4(-3 + y) 7 + -5y = (-3 * -4 + y * -4) 7 + -5y = (12 + -4y) Solving 7 + -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. 7 + -5y + 4y = 12 + -4y + 4y Combine like terms: -5y + 4y = -1y 7 + -1y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + -1y = 12 + 0 7 + -1y = 12 Add '-7' to each side of the equation. 7 + -7 + -1y = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 12 + -7 -1y = 12 + -7 Combine like terms: 12 + -7 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5
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