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Simplifying -4(y + 4) + -1(-3y + -5) = -7 Reorder the terms: -4(4 + y) + -1(-3y + -5) = -7 (4 * -4 + y * -4) + -1(-3y + -5) = -7 (-16 + -4y) + -1(-3y + -5) = -7 Reorder the terms: -16 + -4y + -1(-5 + -3y) = -7 -16 + -4y + (-5 * -1 + -3y * -1) = -7 -16 + -4y + (5 + 3y) = -7 Reorder the terms: -16 + 5 + -4y + 3y = -7 Combine like terms: -16 + 5 = -11 -11 + -4y + 3y = -7 Combine like terms: -4y + 3y = -1y -11 + -1y = -7 Solving -11 + -1y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1y = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = -7 + 11 -1y = -7 + 11 Combine like terms: -7 + 11 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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