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Simplifying (5y + -8) * 6 = 7(5y) Reorder the terms: (-8 + 5y) * 6 = 7(5y) Reorder the terms for easier multiplication: 6(-8 + 5y) = 7(5y) (-8 * 6 + 5y * 6) = 7(5y) (-48 + 30y) = 7(5y) Remove parenthesis around (5y) -48 + 30y = 7 * 5y Multiply 7 * 5 -48 + 30y = 35y Solving -48 + 30y = 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. -48 + 30y + -35y = 35y + -35y Combine like terms: 30y + -35y = -5y -48 + -5y = 35y + -35y Combine like terms: 35y + -35y = 0 -48 + -5y = 0 Add '48' to each side of the equation. -48 + 48 + -5y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -5y = 0 + 48 -5y = 0 + 48 Combine like terms: 0 + 48 = 48 -5y = 48 Divide each side by '-5'. y = -9.6 Simplifying y = -9.6
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