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Simplifying -3y + 2(8y + -2) = -3 + 1(-4 + -1y) Reorder the terms: -3y + 2(-2 + 8y) = -3 + 1(-4 + -1y) -3y + (-2 * 2 + 8y * 2) = -3 + 1(-4 + -1y) -3y + (-4 + 16y) = -3 + 1(-4 + -1y) Reorder the terms: -4 + -3y + 16y = -3 + 1(-4 + -1y) Combine like terms: -3y + 16y = 13y -4 + 13y = -3 + 1(-4 + -1y) -4 + 13y = -3 + (-4 * 1 + -1y * 1) -4 + 13y = -3 + (-4 + -1y) Combine like terms: -3 + -4 = -7 -4 + 13y = -7 + -1y Solving -4 + 13y = -7 + -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. -4 + 13y + y = -7 + -1y + y Combine like terms: 13y + y = 14y -4 + 14y = -7 + -1y + y Combine like terms: -1y + y = 0 -4 + 14y = -7 + 0 -4 + 14y = -7 Add '4' to each side of the equation. -4 + 4 + 14y = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 14y = -7 + 4 14y = -7 + 4 Combine like terms: -7 + 4 = -3 14y = -3 Divide each side by '14'. y = -0.2142857143 Simplifying y = -0.2142857143
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