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Simplifying -96 + 17y + 2 = 6(4y + -4) + -7 Reorder the terms: -96 + 2 + 17y = 6(4y + -4) + -7 Combine like terms: -96 + 2 = -94 -94 + 17y = 6(4y + -4) + -7 Reorder the terms: -94 + 17y = 6(-4 + 4y) + -7 -94 + 17y = (-4 * 6 + 4y * 6) + -7 -94 + 17y = (-24 + 24y) + -7 Reorder the terms: -94 + 17y = -24 + -7 + 24y Combine like terms: -24 + -7 = -31 -94 + 17y = -31 + 24y Solving -94 + 17y = -31 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -94 + 17y + -24y = -31 + 24y + -24y Combine like terms: 17y + -24y = -7y -94 + -7y = -31 + 24y + -24y Combine like terms: 24y + -24y = 0 -94 + -7y = -31 + 0 -94 + -7y = -31 Add '94' to each side of the equation. -94 + 94 + -7y = -31 + 94 Combine like terms: -94 + 94 = 0 0 + -7y = -31 + 94 -7y = -31 + 94 Combine like terms: -31 + 94 = 63 -7y = 63 Divide each side by '-7'. y = -9 Simplifying y = -9
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