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Simplifying 4y + -36 = 7(y + -6) Reorder the terms: -36 + 4y = 7(y + -6) Reorder the terms: -36 + 4y = 7(-6 + y) -36 + 4y = (-6 * 7 + y * 7) -36 + 4y = (-42 + 7y) Solving -36 + 4y = -42 + 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. -36 + 4y + -7y = -42 + 7y + -7y Combine like terms: 4y + -7y = -3y -36 + -3y = -42 + 7y + -7y Combine like terms: 7y + -7y = 0 -36 + -3y = -42 + 0 -36 + -3y = -42 Add '36' to each side of the equation. -36 + 36 + -3y = -42 + 36 Combine like terms: -36 + 36 = 0 0 + -3y = -42 + 36 -3y = -42 + 36 Combine like terms: -42 + 36 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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