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Simplifying -5(y + 4) = 3(y + -4) Reorder the terms: -5(4 + y) = 3(y + -4) (4 * -5 + y * -5) = 3(y + -4) (-20 + -5y) = 3(y + -4) Reorder the terms: -20 + -5y = 3(-4 + y) -20 + -5y = (-4 * 3 + y * 3) -20 + -5y = (-12 + 3y) Solving -20 + -5y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -20 + -5y + -3y = -12 + 3y + -3y Combine like terms: -5y + -3y = -8y -20 + -8y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -20 + -8y = -12 + 0 -20 + -8y = -12 Add '20' to each side of the equation. -20 + 20 + -8y = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -8y = -12 + 20 -8y = -12 + 20 Combine like terms: -12 + 20 = 8 -8y = 8 Divide each side by '-8'. y = -1 Simplifying y = -1
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