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Simplifying 8y + -2(-3y + 4) = -1(y + 38) Reorder the terms: 8y + -2(4 + -3y) = -1(y + 38) 8y + (4 * -2 + -3y * -2) = -1(y + 38) 8y + (-8 + 6y) = -1(y + 38) Reorder the terms: -8 + 8y + 6y = -1(y + 38) Combine like terms: 8y + 6y = 14y -8 + 14y = -1(y + 38) Reorder the terms: -8 + 14y = -1(38 + y) -8 + 14y = (38 * -1 + y * -1) -8 + 14y = (-38 + -1y) Solving -8 + 14y = -38 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -8 + 14y + y = -38 + -1y + y Combine like terms: 14y + y = 15y -8 + 15y = -38 + -1y + y Combine like terms: -1y + y = 0 -8 + 15y = -38 + 0 -8 + 15y = -38 Add '8' to each side of the equation. -8 + 8 + 15y = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 15y = -38 + 8 15y = -38 + 8 Combine like terms: -38 + 8 = -30 15y = -30 Divide each side by '15'. y = -2 Simplifying y = -2
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