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Simplifying 8(y + -6) = 2y + -30 Reorder the terms: 8(-6 + y) = 2y + -30 (-6 * 8 + y * 8) = 2y + -30 (-48 + 8y) = 2y + -30 Reorder the terms: -48 + 8y = -30 + 2y Solving -48 + 8y = -30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -48 + 8y + -2y = -30 + 2y + -2y Combine like terms: 8y + -2y = 6y -48 + 6y = -30 + 2y + -2y Combine like terms: 2y + -2y = 0 -48 + 6y = -30 + 0 -48 + 6y = -30 Add '48' to each side of the equation. -48 + 48 + 6y = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 6y = -30 + 48 6y = -30 + 48 Combine like terms: -30 + 48 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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