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Simplifying -32 + -7y = 4(2y + 6) Reorder the terms: -32 + -7y = 4(6 + 2y) -32 + -7y = (6 * 4 + 2y * 4) -32 + -7y = (24 + 8y) Solving -32 + -7y = 24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -32 + -7y + -8y = 24 + 8y + -8y Combine like terms: -7y + -8y = -15y -32 + -15y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -32 + -15y = 24 + 0 -32 + -15y = 24 Add '32' to each side of the equation. -32 + 32 + -15y = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -15y = 24 + 32 -15y = 24 + 32 Combine like terms: 24 + 32 = 56 -15y = 56 Divide each side by '-15'. y = -3.733333333 Simplifying y = -3.733333333
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