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Simplifying -4(w + 2) + 5y = 2(y + -6) Reorder the terms: -4(2 + w) + 5y = 2(y + -6) (2 * -4 + w * -4) + 5y = 2(y + -6) (-8 + -4w) + 5y = 2(y + -6) Reorder the terms: -8 + -4w + 5y = 2(-6 + y) -8 + -4w + 5y = (-6 * 2 + y * 2) -8 + -4w + 5y = (-12 + 2y) Solving -8 + -4w + 5y = -12 + 2y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -4w + 8 + 5y = -12 + 8 + 2y Reorder the terms: -8 + 8 + -4w + 5y = -12 + 8 + 2y Combine like terms: -8 + 8 = 0 0 + -4w + 5y = -12 + 8 + 2y -4w + 5y = -12 + 8 + 2y Combine like terms: -12 + 8 = -4 -4w + 5y = -4 + 2y Add '-5y' to each side of the equation. -4w + 5y + -5y = -4 + 2y + -5y Combine like terms: 5y + -5y = 0 -4w + 0 = -4 + 2y + -5y -4w = -4 + 2y + -5y Combine like terms: 2y + -5y = -3y -4w = -4 + -3y Divide each side by '-4'. w = 1 + 0.75y Simplifying w = 1 + 0.75y
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