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Simplifying 5 + -2y = 4(y + -7) Reorder the terms: 5 + -2y = 4(-7 + y) 5 + -2y = (-7 * 4 + y * 4) 5 + -2y = (-28 + 4y) Solving 5 + -2y = -28 + 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. 5 + -2y + -4y = -28 + 4y + -4y Combine like terms: -2y + -4y = -6y 5 + -6y = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 5 + -6y = -28 + 0 5 + -6y = -28 Add '-5' to each side of the equation. 5 + -5 + -6y = -28 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = -28 + -5 -6y = -28 + -5 Combine like terms: -28 + -5 = -33 -6y = -33 Divide each side by '-6'. y = 5.5 Simplifying y = 5.5
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