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Simplifying 5 + -2(y + -5) = 4y + -7 Reorder the terms: 5 + -2(-5 + y) = 4y + -7 5 + (-5 * -2 + y * -2) = 4y + -7 5 + (10 + -2y) = 4y + -7 Combine like terms: 5 + 10 = 15 15 + -2y = 4y + -7 Reorder the terms: 15 + -2y = -7 + 4y Solving 15 + -2y = -7 + 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. 15 + -2y + -4y = -7 + 4y + -4y Combine like terms: -2y + -4y = -6y 15 + -6y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 15 + -6y = -7 + 0 15 + -6y = -7 Add '-15' to each side of the equation. 15 + -15 + -6y = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = -7 + -15 -6y = -7 + -15 Combine like terms: -7 + -15 = -22 -6y = -22 Divide each side by '-6'. y = 3.666666667 Simplifying y = 3.666666667
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