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Simplifying 6(y + -3) + 10 = 2(3x + -4) Reorder the terms: 6(-3 + y) + 10 = 2(3x + -4) (-3 * 6 + y * 6) + 10 = 2(3x + -4) (-18 + 6y) + 10 = 2(3x + -4) Reorder the terms: -18 + 10 + 6y = 2(3x + -4) Combine like terms: -18 + 10 = -8 -8 + 6y = 2(3x + -4) Reorder the terms: -8 + 6y = 2(-4 + 3x) -8 + 6y = (-4 * 2 + 3x * 2) -8 + 6y = (-8 + 6x) Add '8' to each side of the equation. -8 + 8 + 6y = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 6y = -8 + 8 + 6x 6y = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 6y = 0 + 6x 6y = 6x Solving 6y = 6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '6'. y = x Simplifying y = x
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