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Simplifying -8(y + 4) + -2(y + -1) = 70 + -3y Reorder the terms: -8(4 + y) + -2(y + -1) = 70 + -3y (4 * -8 + y * -8) + -2(y + -1) = 70 + -3y (-32 + -8y) + -2(y + -1) = 70 + -3y Reorder the terms: -32 + -8y + -2(-1 + y) = 70 + -3y -32 + -8y + (-1 * -2 + y * -2) = 70 + -3y -32 + -8y + (2 + -2y) = 70 + -3y Reorder the terms: -32 + 2 + -8y + -2y = 70 + -3y Combine like terms: -32 + 2 = -30 -30 + -8y + -2y = 70 + -3y Combine like terms: -8y + -2y = -10y -30 + -10y = 70 + -3y Solving -30 + -10y = 70 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -30 + -10y + 3y = 70 + -3y + 3y Combine like terms: -10y + 3y = -7y -30 + -7y = 70 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + -7y = 70 + 0 -30 + -7y = 70 Add '30' to each side of the equation. -30 + 30 + -7y = 70 + 30 Combine like terms: -30 + 30 = 0 0 + -7y = 70 + 30 -7y = 70 + 30 Combine like terms: 70 + 30 = 100 -7y = 100 Divide each side by '-7'. y = -14.28571429 Simplifying y = -14.28571429
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