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Simplifying -1(y + -4) + 7 = 4(y + 6) Reorder the terms: -1(-4 + y) + 7 = 4(y + 6) (-4 * -1 + y * -1) + 7 = 4(y + 6) (4 + -1y) + 7 = 4(y + 6) Reorder the terms: 4 + 7 + -1y = 4(y + 6) Combine like terms: 4 + 7 = 11 11 + -1y = 4(y + 6) Reorder the terms: 11 + -1y = 4(6 + y) 11 + -1y = (6 * 4 + y * 4) 11 + -1y = (24 + 4y) Solving 11 + -1y = 24 + 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. 11 + -1y + -4y = 24 + 4y + -4y Combine like terms: -1y + -4y = -5y 11 + -5y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 11 + -5y = 24 + 0 11 + -5y = 24 Add '-11' to each side of the equation. 11 + -11 + -5y = 24 + -11 Combine like terms: 11 + -11 = 0 0 + -5y = 24 + -11 -5y = 24 + -11 Combine like terms: 24 + -11 = 13 -5y = 13 Divide each side by '-5'. y = -2.6 Simplifying y = -2.6
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