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Simplifying 4y + -3 = 10 + 3(y + -2) Reorder the terms: -3 + 4y = 10 + 3(y + -2) Reorder the terms: -3 + 4y = 10 + 3(-2 + y) -3 + 4y = 10 + (-2 * 3 + y * 3) -3 + 4y = 10 + (-6 + 3y) Combine like terms: 10 + -6 = 4 -3 + 4y = 4 + 3y Solving -3 + 4y = 4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -3 + 4y + -3y = 4 + 3y + -3y Combine like terms: 4y + -3y = 1y -3 + 1y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 -3 + 1y = 4 + 0 -3 + 1y = 4 Add '3' to each side of the equation. -3 + 3 + 1y = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = 4 + 3 1y = 4 + 3 Combine like terms: 4 + 3 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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