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Simplifying 4y + -7 = 10 + -4y + 8 Reorder the terms: -7 + 4y = 10 + -4y + 8 Reorder the terms: -7 + 4y = 10 + 8 + -4y Combine like terms: 10 + 8 = 18 -7 + 4y = 18 + -4y Solving -7 + 4y = 18 + -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. -7 + 4y + 4y = 18 + -4y + 4y Combine like terms: 4y + 4y = 8y -7 + 8y = 18 + -4y + 4y Combine like terms: -4y + 4y = 0 -7 + 8y = 18 + 0 -7 + 8y = 18 Add '7' to each side of the equation. -7 + 7 + 8y = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 8y = 18 + 7 8y = 18 + 7 Combine like terms: 18 + 7 = 25 8y = 25 Divide each side by '8'. y = 3.125 Simplifying y = 3.125
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