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Simplifying -1y + 4(2y + -3) = 5y + -6(y + -7) Reorder the terms: -1y + 4(-3 + 2y) = 5y + -6(y + -7) -1y + (-3 * 4 + 2y * 4) = 5y + -6(y + -7) -1y + (-12 + 8y) = 5y + -6(y + -7) Reorder the terms: -12 + -1y + 8y = 5y + -6(y + -7) Combine like terms: -1y + 8y = 7y -12 + 7y = 5y + -6(y + -7) Reorder the terms: -12 + 7y = 5y + -6(-7 + y) -12 + 7y = 5y + (-7 * -6 + y * -6) -12 + 7y = 5y + (42 + -6y) Reorder the terms: -12 + 7y = 42 + 5y + -6y Combine like terms: 5y + -6y = -1y -12 + 7y = 42 + -1y Solving -12 + 7y = 42 + -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. -12 + 7y + y = 42 + -1y + y Combine like terms: 7y + y = 8y -12 + 8y = 42 + -1y + y Combine like terms: -1y + y = 0 -12 + 8y = 42 + 0 -12 + 8y = 42 Add '12' to each side of the equation. -12 + 12 + 8y = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 42 + 12 8y = 42 + 12 Combine like terms: 42 + 12 = 54 8y = 54 Divide each side by '8'. y = 6.75 Simplifying y = 6.75
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