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Simplifying 4y + -2(3y + 4) = -5 + -2(-5 + -1y) Reorder the terms: 4y + -2(4 + 3y) = -5 + -2(-5 + -1y) 4y + (4 * -2 + 3y * -2) = -5 + -2(-5 + -1y) 4y + (-8 + -6y) = -5 + -2(-5 + -1y) Reorder the terms: -8 + 4y + -6y = -5 + -2(-5 + -1y) Combine like terms: 4y + -6y = -2y -8 + -2y = -5 + -2(-5 + -1y) -8 + -2y = -5 + (-5 * -2 + -1y * -2) -8 + -2y = -5 + (10 + 2y) Combine like terms: -5 + 10 = 5 -8 + -2y = 5 + 2y Solving -8 + -2y = 5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -8 + -2y + -2y = 5 + 2y + -2y Combine like terms: -2y + -2y = -4y -8 + -4y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + -4y = 5 + 0 -8 + -4y = 5 Add '8' to each side of the equation. -8 + 8 + -4y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 5 + 8 -4y = 5 + 8 Combine like terms: 5 + 8 = 13 -4y = 13 Divide each side by '-4'. y = -3.25 Simplifying y = -3.25
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