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Simplifying -15 = -7 + 4(y + -6) Reorder the terms: -15 = -7 + 4(-6 + y) -15 = -7 + (-6 * 4 + y * 4) -15 = -7 + (-24 + 4y) Combine like terms: -7 + -24 = -31 -15 = -31 + 4y Solving -15 = -31 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + -4y = -31 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + -4y = -31 + 0 -15 + -4y = -31 Add '15' to each side of the equation. -15 + 15 + -4y = -31 + 15 Combine like terms: -15 + 15 = 0 0 + -4y = -31 + 15 -4y = -31 + 15 Combine like terms: -31 + 15 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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