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Simplifying 8y + 48 = -7(y + -9) Reorder the terms: 48 + 8y = -7(y + -9) Reorder the terms: 48 + 8y = -7(-9 + y) 48 + 8y = (-9 * -7 + y * -7) 48 + 8y = (63 + -7y) Solving 48 + 8y = 63 + -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 = 63 + -7y + 7y Combine like terms: 8y + 7y = 15y 48 + 15y = 63 + -7y + 7y Combine like terms: -7y + 7y = 0 48 + 15y = 63 + 0 48 + 15y = 63 Add '-48' to each side of the equation. 48 + -48 + 15y = 63 + -48 Combine like terms: 48 + -48 = 0 0 + 15y = 63 + -48 15y = 63 + -48 Combine like terms: 63 + -48 = 15 15y = 15 Divide each side by '15'. y = 1 Simplifying y = 1
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