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Simplifying -46 + 9y + 4 = 3(5y + -4) + -6 Reorder the terms: -46 + 4 + 9y = 3(5y + -4) + -6 Combine like terms: -46 + 4 = -42 -42 + 9y = 3(5y + -4) + -6 Reorder the terms: -42 + 9y = 3(-4 + 5y) + -6 -42 + 9y = (-4 * 3 + 5y * 3) + -6 -42 + 9y = (-12 + 15y) + -6 Reorder the terms: -42 + 9y = -12 + -6 + 15y Combine like terms: -12 + -6 = -18 -42 + 9y = -18 + 15y Solving -42 + 9y = -18 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -42 + 9y + -15y = -18 + 15y + -15y Combine like terms: 9y + -15y = -6y -42 + -6y = -18 + 15y + -15y Combine like terms: 15y + -15y = 0 -42 + -6y = -18 + 0 -42 + -6y = -18 Add '42' to each side of the equation. -42 + 42 + -6y = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -6y = -18 + 42 -6y = -18 + 42 Combine like terms: -18 + 42 = 24 -6y = 24 Divide each side by '-6'. y = -4 Simplifying y = -4
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