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Simplifying 5(4y + -6) + -6 = -6(y + -7) Reorder the terms: 5(-6 + 4y) + -6 = -6(y + -7) (-6 * 5 + 4y * 5) + -6 = -6(y + -7) (-30 + 20y) + -6 = -6(y + -7) Reorder the terms: -30 + -6 + 20y = -6(y + -7) Combine like terms: -30 + -6 = -36 -36 + 20y = -6(y + -7) Reorder the terms: -36 + 20y = -6(-7 + y) -36 + 20y = (-7 * -6 + y * -6) -36 + 20y = (42 + -6y) Solving -36 + 20y = 42 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -36 + 20y + 6y = 42 + -6y + 6y Combine like terms: 20y + 6y = 26y -36 + 26y = 42 + -6y + 6y Combine like terms: -6y + 6y = 0 -36 + 26y = 42 + 0 -36 + 26y = 42 Add '36' to each side of the equation. -36 + 36 + 26y = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 26y = 42 + 36 26y = 42 + 36 Combine like terms: 42 + 36 = 78 26y = 78 Divide each side by '26'. y = 3 Simplifying y = 3
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