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Simplifying 4(2y + -3) = 7y + -22 Reorder the terms: 4(-3 + 2y) = 7y + -22 (-3 * 4 + 2y * 4) = 7y + -22 (-12 + 8y) = 7y + -22 Reorder the terms: -12 + 8y = -22 + 7y Solving -12 + 8y = -22 + 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. -12 + 8y + -7y = -22 + 7y + -7y Combine like terms: 8y + -7y = 1y -12 + 1y = -22 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + 1y = -22 + 0 -12 + 1y = -22 Add '12' to each side of the equation. -12 + 12 + 1y = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = -22 + 12 1y = -22 + 12 Combine like terms: -22 + 12 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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