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Simplifying 4 + -5(2y + -4) + y = y + -7(2y + 3) Reorder the terms: 4 + -5(-4 + 2y) + y = y + -7(2y + 3) 4 + (-4 * -5 + 2y * -5) + y = y + -7(2y + 3) 4 + (20 + -10y) + y = y + -7(2y + 3) Combine like terms: 4 + 20 = 24 24 + -10y + y = y + -7(2y + 3) Combine like terms: -10y + y = -9y 24 + -9y = y + -7(2y + 3) Reorder the terms: 24 + -9y = y + -7(3 + 2y) 24 + -9y = y + (3 * -7 + 2y * -7) 24 + -9y = y + (-21 + -14y) Reorder the terms: 24 + -9y = -21 + y + -14y Combine like terms: y + -14y = -13y 24 + -9y = -21 + -13y Solving 24 + -9y = -21 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 24 + -9y + 13y = -21 + -13y + 13y Combine like terms: -9y + 13y = 4y 24 + 4y = -21 + -13y + 13y Combine like terms: -13y + 13y = 0 24 + 4y = -21 + 0 24 + 4y = -21 Add '-24' to each side of the equation. 24 + -24 + 4y = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = -21 + -24 4y = -21 + -24 Combine like terms: -21 + -24 = -45 4y = -45 Divide each side by '4'. y = -11.25 Simplifying y = -11.25
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