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Simplifying 8(3 + -2y) + -3 = 7 + -2(3y + -4) (3 * 8 + -2y * 8) + -3 = 7 + -2(3y + -4) (24 + -16y) + -3 = 7 + -2(3y + -4) Reorder the terms: 24 + -3 + -16y = 7 + -2(3y + -4) Combine like terms: 24 + -3 = 21 21 + -16y = 7 + -2(3y + -4) Reorder the terms: 21 + -16y = 7 + -2(-4 + 3y) 21 + -16y = 7 + (-4 * -2 + 3y * -2) 21 + -16y = 7 + (8 + -6y) Combine like terms: 7 + 8 = 15 21 + -16y = 15 + -6y Solving 21 + -16y = 15 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 21 + -16y + 6y = 15 + -6y + 6y Combine like terms: -16y + 6y = -10y 21 + -10y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 21 + -10y = 15 + 0 21 + -10y = 15 Add '-21' to each side of the equation. 21 + -21 + -10y = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -10y = 15 + -21 -10y = 15 + -21 Combine like terms: 15 + -21 = -6 -10y = -6 Divide each side by '-10'. y = 0.6 Simplifying y = 0.6
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