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Simplifying 2(-4y + 6z + -1) + 2z = -7 Reorder the terms: 2(-1 + -4y + 6z) + 2z = -7 (-1 * 2 + -4y * 2 + 6z * 2) + 2z = -7 (-2 + -8y + 12z) + 2z = -7 Combine like terms: 12z + 2z = 14z -2 + -8y + 14z = -7 Solving -2 + -8y + 14z = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -8y + 2 + 14z = -7 + 2 Reorder the terms: -2 + 2 + -8y + 14z = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -8y + 14z = -7 + 2 -8y + 14z = -7 + 2 Combine like terms: -7 + 2 = -5 -8y + 14z = -5 Add '-14z' to each side of the equation. -8y + 14z + -14z = -5 + -14z Combine like terms: 14z + -14z = 0 -8y + 0 = -5 + -14z -8y = -5 + -14z Divide each side by '-8'. y = 0.625 + 1.75z Simplifying y = 0.625 + 1.75z
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