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Simplifying 3(2y + -30) + -2(y + 50) = 130 Reorder the terms: 3(-30 + 2y) + -2(y + 50) = 130 (-30 * 3 + 2y * 3) + -2(y + 50) = 130 (-90 + 6y) + -2(y + 50) = 130 Reorder the terms: -90 + 6y + -2(50 + y) = 130 -90 + 6y + (50 * -2 + y * -2) = 130 -90 + 6y + (-100 + -2y) = 130 Reorder the terms: -90 + -100 + 6y + -2y = 130 Combine like terms: -90 + -100 = -190 -190 + 6y + -2y = 130 Combine like terms: 6y + -2y = 4y -190 + 4y = 130 Solving -190 + 4y = 130 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '190' to each side of the equation. -190 + 190 + 4y = 130 + 190 Combine like terms: -190 + 190 = 0 0 + 4y = 130 + 190 4y = 130 + 190 Combine like terms: 130 + 190 = 320 4y = 320 Divide each side by '4'. y = 80 Simplifying y = 80
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