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Simplifying -6(-4y + 2) + -7y = 2(y + -4) + -1 Reorder the terms: -6(2 + -4y) + -7y = 2(y + -4) + -1 (2 * -6 + -4y * -6) + -7y = 2(y + -4) + -1 (-12 + 24y) + -7y = 2(y + -4) + -1 Combine like terms: 24y + -7y = 17y -12 + 17y = 2(y + -4) + -1 Reorder the terms: -12 + 17y = 2(-4 + y) + -1 -12 + 17y = (-4 * 2 + y * 2) + -1 -12 + 17y = (-8 + 2y) + -1 Reorder the terms: -12 + 17y = -8 + -1 + 2y Combine like terms: -8 + -1 = -9 -12 + 17y = -9 + 2y Solving -12 + 17y = -9 + 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. -12 + 17y + -2y = -9 + 2y + -2y Combine like terms: 17y + -2y = 15y -12 + 15y = -9 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 15y = -9 + 0 -12 + 15y = -9 Add '12' to each side of the equation. -12 + 12 + 15y = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 15y = -9 + 12 15y = -9 + 12 Combine like terms: -9 + 12 = 3 15y = 3 Divide each side by '15'. y = 0.2 Simplifying y = 0.2
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