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Simplifying y + 2 + -7y = -4(y + -3) Reorder the terms: 2 + y + -7y = -4(y + -3) Combine like terms: y + -7y = -6y 2 + -6y = -4(y + -3) Reorder the terms: 2 + -6y = -4(-3 + y) 2 + -6y = (-3 * -4 + y * -4) 2 + -6y = (12 + -4y) Solving 2 + -6y = 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. 2 + -6y + 4y = 12 + -4y + 4y Combine like terms: -6y + 4y = -2y 2 + -2y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + -2y = 12 + 0 2 + -2y = 12 Add '-2' to each side of the equation. 2 + -2 + -2y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = 12 + -2 -2y = 12 + -2 Combine like terms: 12 + -2 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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