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Simplifying 7(y + -3) + 5 = 4(2 + -1y) + 3y Reorder the terms: 7(-3 + y) + 5 = 4(2 + -1y) + 3y (-3 * 7 + y * 7) + 5 = 4(2 + -1y) + 3y (-21 + 7y) + 5 = 4(2 + -1y) + 3y Reorder the terms: -21 + 5 + 7y = 4(2 + -1y) + 3y Combine like terms: -21 + 5 = -16 -16 + 7y = 4(2 + -1y) + 3y -16 + 7y = (2 * 4 + -1y * 4) + 3y -16 + 7y = (8 + -4y) + 3y Combine like terms: -4y + 3y = -1y -16 + 7y = 8 + -1y Solving -16 + 7y = 8 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -16 + 7y + y = 8 + -1y + y Combine like terms: 7y + y = 8y -16 + 8y = 8 + -1y + y Combine like terms: -1y + y = 0 -16 + 8y = 8 + 0 -16 + 8y = 8 Add '16' to each side of the equation. -16 + 16 + 8y = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 8y = 8 + 16 8y = 8 + 16 Combine like terms: 8 + 16 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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