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Simplifying 5(y + -7) = -12y Reorder the terms: 5(-7 + y) = -12y (-7 * 5 + y * 5) = -12y (-35 + 5y) = -12y Solving -35 + 5y = -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -35 + 5y + 12y = -12y + 12y Combine like terms: 5y + 12y = 17y -35 + 17y = -12y + 12y Combine like terms: -12y + 12y = 0 -35 + 17y = 0 Add '35' to each side of the equation. -35 + 35 + 17y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 17y = 0 + 35 17y = 0 + 35 Combine like terms: 0 + 35 = 35 17y = 35 Divide each side by '17'. y = 2.058823529 Simplifying y = 2.058823529
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