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Simplifying 8(y + -6) = 7(y + 1) Reorder the terms: 8(-6 + y) = 7(y + 1) (-6 * 8 + y * 8) = 7(y + 1) (-48 + 8y) = 7(y + 1) Reorder the terms: -48 + 8y = 7(1 + y) -48 + 8y = (1 * 7 + y * 7) -48 + 8y = (7 + 7y) Solving -48 + 8y = 7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -48 + 8y + -7y = 7 + 7y + -7y Combine like terms: 8y + -7y = 1y -48 + 1y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 -48 + 1y = 7 + 0 -48 + 1y = 7 Add '48' to each side of the equation. -48 + 48 + 1y = 7 + 48 Combine like terms: -48 + 48 = 0 0 + 1y = 7 + 48 1y = 7 + 48 Combine like terms: 7 + 48 = 55 1y = 55 Divide each side by '1'. y = 55 Simplifying y = 55
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