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Simplifying 7(y + -8) + 24 = -4(y + -6) Reorder the terms: 7(-8 + y) + 24 = -4(y + -6) (-8 * 7 + y * 7) + 24 = -4(y + -6) (-56 + 7y) + 24 = -4(y + -6) Reorder the terms: -56 + 24 + 7y = -4(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = -4(y + -6) Reorder the terms: -32 + 7y = -4(-6 + y) -32 + 7y = (-6 * -4 + y * -4) -32 + 7y = (24 + -4y) Solving -32 + 7y = 24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -32 + 7y + 4y = 24 + -4y + 4y Combine like terms: 7y + 4y = 11y -32 + 11y = 24 + -4y + 4y Combine like terms: -4y + 4y = 0 -32 + 11y = 24 + 0 -32 + 11y = 24 Add '32' to each side of the equation. -32 + 32 + 11y = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 11y = 24 + 32 11y = 24 + 32 Combine like terms: 24 + 32 = 56 11y = 56 Divide each side by '11'. y = 5.090909091 Simplifying y = 5.090909091
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