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Simplifying -4(4y + -2) + 3y = -5(y + 2) Reorder the terms: -4(-2 + 4y) + 3y = -5(y + 2) (-2 * -4 + 4y * -4) + 3y = -5(y + 2) (8 + -16y) + 3y = -5(y + 2) Combine like terms: -16y + 3y = -13y 8 + -13y = -5(y + 2) Reorder the terms: 8 + -13y = -5(2 + y) 8 + -13y = (2 * -5 + y * -5) 8 + -13y = (-10 + -5y) Solving 8 + -13y = -10 + -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 + -13y + 5y = -10 + -5y + 5y Combine like terms: -13y + 5y = -8y 8 + -8y = -10 + -5y + 5y Combine like terms: -5y + 5y = 0 8 + -8y = -10 + 0 8 + -8y = -10 Add '-8' to each side of the equation. 8 + -8 + -8y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = -10 + -8 -8y = -10 + -8 Combine like terms: -10 + -8 = -18 -8y = -18 Divide each side by '-8'. y = 2.25 Simplifying y = 2.25
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