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Simplifying -6(-5y + 8) + -8y = 7(y + -3) + -9 Reorder the terms: -6(8 + -5y) + -8y = 7(y + -3) + -9 (8 * -6 + -5y * -6) + -8y = 7(y + -3) + -9 (-48 + 30y) + -8y = 7(y + -3) + -9 Combine like terms: 30y + -8y = 22y -48 + 22y = 7(y + -3) + -9 Reorder the terms: -48 + 22y = 7(-3 + y) + -9 -48 + 22y = (-3 * 7 + y * 7) + -9 -48 + 22y = (-21 + 7y) + -9 Reorder the terms: -48 + 22y = -21 + -9 + 7y Combine like terms: -21 + -9 = -30 -48 + 22y = -30 + 7y Solving -48 + 22y = -30 + 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 + 22y + -7y = -30 + 7y + -7y Combine like terms: 22y + -7y = 15y -48 + 15y = -30 + 7y + -7y Combine like terms: 7y + -7y = 0 -48 + 15y = -30 + 0 -48 + 15y = -30 Add '48' to each side of the equation. -48 + 48 + 15y = -30 + 48 Combine like terms: -48 + 48 = 0 0 + 15y = -30 + 48 15y = -30 + 48 Combine like terms: -30 + 48 = 18 15y = 18 Divide each side by '15'. y = 1.2 Simplifying y = 1.2
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