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Simplifying 4 + -5y = 7 + -2(y + -6) Reorder the terms: 4 + -5y = 7 + -2(-6 + y) 4 + -5y = 7 + (-6 * -2 + y * -2) 4 + -5y = 7 + (12 + -2y) Combine like terms: 7 + 12 = 19 4 + -5y = 19 + -2y Solving 4 + -5y = 19 + -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. 4 + -5y + 2y = 19 + -2y + 2y Combine like terms: -5y + 2y = -3y 4 + -3y = 19 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + -3y = 19 + 0 4 + -3y = 19 Add '-4' to each side of the equation. 4 + -4 + -3y = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 19 + -4 -3y = 19 + -4 Combine like terms: 19 + -4 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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