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Simplifying (-2)(-7y + 4) + -3y = 5(y + -2) + -7 Reorder the terms: -2(4 + -7y) + -3y = 5(y + -2) + -7 (4 * -2 + -7y * -2) + -3y = 5(y + -2) + -7 (-8 + 14y) + -3y = 5(y + -2) + -7 Combine like terms: 14y + -3y = 11y -8 + 11y = 5(y + -2) + -7 Reorder the terms: -8 + 11y = 5(-2 + y) + -7 -8 + 11y = (-2 * 5 + y * 5) + -7 -8 + 11y = (-10 + 5y) + -7 Reorder the terms: -8 + 11y = -10 + -7 + 5y Combine like terms: -10 + -7 = -17 -8 + 11y = -17 + 5y Solving -8 + 11y = -17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -8 + 11y + -5y = -17 + 5y + -5y Combine like terms: 11y + -5y = 6y -8 + 6y = -17 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 6y = -17 + 0 -8 + 6y = -17 Add '8' to each side of the equation. -8 + 8 + 6y = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = -17 + 8 6y = -17 + 8 Combine like terms: -17 + 8 = -9 6y = -9 Divide each side by '6'. y = -1.5 Simplifying y = -1.5
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